The perimeter of a rhombus is 40cm and the length of one diagonal is 16cm find the length of the other diagonal?
The length of the other diagonal works out as 12cm
Constructing the figure, we find the other diagonal to have length 10. The area of the rhombus would thus be 10x8x0.5=40
That will depend on the length of the other diagonal because area of a rhombus is 0.5*product of its diagonals.
There is no relationship between the perimeter and the area of a rhombus. Take a rhombus with all 4 sides = 2 units. Therefore the perimeter is 8 units. There are an infinite number of possible areas for this rhombus. The largest possible area will be when the rhombus approaches the shape of a square = 4 square units. The smallest area will be when the one diagonal approaches 0 units and the other diagonal… Read More
One diagonal of a rhombus is larger than the other diagonal but both diagonals intercept each other at right angles.
Find the area of a Rhombus whose side is 6cm and altitude is 4cm. If one of the diagonal is 8cm long find the length of the other diagonal?
Rhombus Area = side x height = 6 cm x 4 cm = 24 cm2 In the right triangle formed by the side and the height of the rhombus, we have: sin (angle opposite to the height) = height/side = 4 cm/6cm = 2/3, so that the angle measure = sin-1 (2/3) ≈ 41.8⁰. In the triangle formed by two adjacent sides and the required diagonal, which is opposite to the angle of 41.8⁰ of… Read More
Given: The area of the rhombus is 120 square feet The diagonal of the rhombus is 16 feet think of the rhombus being two identical triangles, connected at their base which is 16 feet long. Each of them would then have an area of 60 feet. Now, in a triangle, area = (base * height) / 2 the area is already given as 60, and the base as 16 we can say then: 60 =… Read More
What is the perimeter of a rhombus whose area is 30 square cm and whose largest diagonal is 12 cm showing work?
Let the other diagonal be x If: 0.5*12*x = 30 then x = 60/12 => x = 5 The rhombus has four interior right angle triangles with lengths of 6 cm and 2.5 cm Using Pythagoras each equal sides of the rhombus works out as 6.5 cm Perimeter: 4*6.5 = 26 cm
Diagonals of a rhombus are perpendicular so the product is the area. If x is the smaller diagonal, the longer is 4x, and the area if 4x2.
Area=ba where b=base (any side), and a=altitude, the perpendicular length from the base to the opposite side OR Area= (d1*d2)/2 where d1 is the diagonal and d2 is the other diagonal
Area = base x height. This formula also works for parallelograms, rectangles and squares. You find the area of a rhombus by multiplying l times h (length times height) where the height means the perpendicular distance from one side of length l to the other side. There are three ways to find the area of a rhombus, but these two ways are the easiest. You can use A = ba (base times altitude/height) You can… Read More
The answer depends on what information you have about the rectangle: the area and width, or width and diagonal, area and perimeter or some other measures.
What is the perimeter of a rhombus when one of its diagonals is 7.5cm and has an area of 37.5 square cm?
Let the other diagonal be x:- If area is: 0.5*x*7.5 = 37.5 Then x is: 37.5/(0.5*7.5) = 10 The rhombus will then have 4 right angles with sides of 5 and 3.75 Using Pythagoras: hypotenuse of each triangle is 6.25 cm Therefore perimeter of the rhombus is: 4*6.25 = 25 cm
The important property of a rhombus to note is that a rhombus has all sides of equal length. Then: Let the vertices be A, B, C, D; let the diagonal BD be the same length as the sides. Consider the triangle ABD formed by two sides of the rhombus and the diagonal BD. As all sides are equal in length, it must be an equilateral triangle and thus each angle can be calculated, in particular… Read More
The diagonals of a rhombus are perpendicular and intersect each other at right angles which is 90 degrees
No but its diagonals intersect each other at 90 degrees
The diagonals bisect each other. Since that is true then the area of the rhombus is the sum of the two triangles. Half of one diagonal times the other diagonal. 2(6x5)/2 or 6x5=30
Because the diagonals of a rhombus intersect each other at 90 degrees whereas in a parallelogram they don't
A kite is different from a rhombus in a few ways: * Kites have two pairs of adjacent legs that are congruent, and each pair is a separate length; a rhombus has four congruent sides. * A kite and rhombus both have perpendicular diagonals, but in a kite, only the diagonal between the pairs of sides (the diagonal between two sides of different length) is bisected; the other is not. Also, the diagonals bisect all… Read More
They bisect each other at 90 degrees. They are the perpendicular bisectors of each other.
You must know something else. Like an angle. Or coordinates of the vertices on an x-y plane. And, of course the length of a side. If you know an angle, then you know them all, adjacent angles are supplementary. use law of cosines to find the length of a diagonal. 1/2 of the diagonal is the distance to the opposite vertices. Use law of cosines with the adjacent angle to find the length of the… Read More
A rhombus has four sides that are all the same length ---------------------------------------- but if you are talking about the geometric shape kite - it is not a rhombus. A kite has two adjacent sides of equal length and the other two sides of equal length. Only a square can be a rhombus.
A rhombus has four sides of equal length.
Please note that the diagonals cross one another at right angles, and bisect one another. You should draw a diagram to visualize this. From this center point, where the diagonals cross, you have a RIGHT TRIANGLE that involves half of one diagonal, half of the other diagonal, and one of the sides of the rhombus. This lets you use the Pythagorean Theorem to solve for the length of the side.
A rhombus has 2 diagonals and they are a straight lines drawn opposite to its interior corners intersecting each other at right angles.
Thanks to limitations of the browser, not all symbols are visible. In particular, it is not clear what b equals. In any case there is no single measure for the value of a rhombus. A rhombus has a perimeter, length of sides, an area, internal angles and many other characteristic measures. None of these is "the value" of the rhombus.
Would each diagonal of a rhombus bisect a pair of opposite angles Choices A never B sometimes C always?
Each diagonal of a rhombus would never bisect a pair of opposite angles, but the diagonals are perpendicular to each other
If side is given too, then you can find area with one diagonal. As diagonals bisect each other in a rhombus at 90°, Using Pythogoras Theorem: (Half d1)² = (side)² - (Half d2)²
What is the perimeter of a rhombus when one diagonal is greater than the other diagonal by 10.5 cm and has an area of 67.5 square cm?
The perimeter is 39 cm.
"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length. The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.
Quadrilaterals that have diagonals that bisect each other at 90 degrees are a square, a rhombus and a kite
all sides of a rhombus are equal in length. the diagonals of the rhombus intersect at a 90 degree angle. the diagonals and the sides of the rhombus form right triangles. one leg of these right triangles is equal to 8 cm in length. the other leg of these right triangles is equal to 6 cm in length that would be half the length of each diagonal. the sides of the triangle form the hypotenuse… Read More
If one of the diagonal of a rhombus is equal to one of its sides find the measures of all the angles of the rhombus?
One pair of 60 degree angles and the other pair of 120 degrees.
What is the length of one side of the rhombus if the diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters?
Since the diagonals of a rhombus are perpendicular and bisect each other, then we can use the Pythagorean theorem to find the length of the side of the rhombus. So in the right triangle, whose length of the legs are 6 and 8 centimeters, the hypotenuse length (the length of the side of the rhombus) is √(62 + 82) = √(36 + 64) = √100 = 10 cm.
It cannot be determined. Think of a square and distort it as a rhombus. As the rhombus gets flatter, one of the diagonals becomes smaller and the other becomes larger. The same applies to a parallelogram. You can only determine the maximum or minimum length of the diagonals. The maximum is the sum of the two sides, the minimum is zero. Neither extreme is attainable but you can get as close to them as you… Read More
For rectangles, there are only two side lengths and the perimeter is obviously P = 2 (L + W). For squares, P = 4S. If you know the diagonal length of a rectangle, you only need one side to find the other side length using the Pythagorean theorem (d squared = side a squared + side b squared). If it is a square, knowing the diagonal gives you the perimeter: it is 4 times the… Read More
a rhombus and a parallogram are diffrent from each other beacuse the sides of a rhombus are some not equal to each other * * * * * The above answer is the wrong way around. All four sides in a rhombus must be of the same length. In a parallelogram, the pair of opposite sides must be of the same length, but each pair can be different from the other.
We need to know the lengths of the other sides to help you with this.
That will depend on the lengths of the diagonals of the rhombus which are of different lengths and intersect each other at right angles but knowing the lengths of the diagonals of the rhombus it is then possible to work out its perimeter and area.
A rhombus is a closed plane figure bounded by four straights sides. The sides are of equal length. All other characteristics of a rhombus can be derived from that.
One Answer For quadrilaterals (parallelogram, rectangle, rhombus, trapezoid) its called a diagonal Another: For any polygon or polyhedron, it is a diagonal.
isn't it a rhombus ? the ones that are like a slanted square ? because there are no right angles but each diagonal bisects the corners.
There is no limit to the maximum perimeter length of an area. To increase one dimension decrease the other. This can be done without limit. There is on the other hand a minimum
No, other way. A rhombus is a special kind of parallelogram ... one with all four of its sides the same length.
A parallelogram requires that opposite sides are parallel and of the same length; it is not a requirement that all four sides are of the same length. A rhombus requires that opposite sides are parallel and all four sides are of the same length. It is possible that a parallelogram can have all four sides of the same length; when it does it now fulfils the requirements of a rhombus, and so is a rhombus… Read More
What is the perimeter of a rectangle with a side that is 8 feet long and a diagonal that is 10 feet long?
The diagonal is 10 feet. The one side is 8 feet and the other side is 6 feet (by Pythagoras 82 + 62 = 102)). The perimeter is thus 28 feet.
The outside. or the 4 sides of the square More specifically, All of the edges of the square added together make up the perimeter. Imagine yourself walking all around the edges of a square, the distance you travel is the perimeter.. For a square or rhombus (but no other quadrilateral) the perimeter is equal to four times the length of one edge. So if your square is 2cm long on one edge, the perimeter is… Read More
Just like any other rectangle, you can use Perimeter = 2 x (length + width) Or, since length and width are the same for a square, Perimeter = 4 x (length of one side).
Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
Square the diagonal and take away the square of width, this gives you the square of the other side. Add the square root of the two sides and multiply by two.
A square, like a rhombus, is a quadrilateral with four sides of equal length. There are other characteristics that they have in common which follow from that.