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Geometry
Geometry = Math of Euclid. Geometry is the Branch of math known for shapes (polygons), 3D figures, undefined terms, theorems, axioms, explanation of the universe, and pi.
176,573 Questions
Is a ASA triangle similarity postulate?
Not in the sense that you mean. With similarity postulates, such as SSS, the sides maintain a proportion with each other, and since there is only one side in ASA - there is nothing to compare it to? So this postulate reduces to: Is AA a similarity poostulate? which turns out to be true (given two angles, you can find the third).
What is the correct formula for calculating the change of temperature from Fahrenheit to Celsius?
C = 5/9(F - 32)
e.g.
61 oF
C = 5/9(61-32) =
C = 5/9(29)
C = 16.111..... oC
Conversely
F = (9C/5) + 32
e.g.
F = ( 9 X -40 oC/5) +32
F = -360/5 + 32
F = -72 + 32
F = -40 oF
NB -40 oC = -40 oF This is the only point on the two temperature scales , which have the same numerical value. at ' -40 '.
Lengths of a scalene triangle sides?
All three sides are of differentn lengths. All three angles are of different values.
However, the sum of the interior angles is ALWAYS 180 degrees.
What is a triangle where the sides are different lengths?
A right triangle
* * * * *
No, it is a scalene triangle.
There are FOUR(4) different types of triangle.
EQUILATERAL ; All sides the same length , and all angles at 60 degrees.
ISOSCELES ; Two sides the same length, and two angles of the same value.
RIGHT-ANGLED ; Three sides of DIFFERENT lengths or two sides the same length, MUST contain a right-angle (90 degree).
SCALENE ; All three sides of different length, and all three angles of different values.
For ALL triangles drawn in 2-dimension , the sum of the interior angles must be 180 degrees.
NB for a triangle drawn across a 3-dimensional surface (sphere), the sum of the interior angles may be greater than 180 degrees.
Is this statement true or false an isosceles triangle has three congruent sides?
The statement is false. An isosceles triangle has at least two sides that are congruent, not necessarily three. A triangle with three congruent sides is called an equilateral triangle, which is a specific type of isosceles triangle.
How do you divide a line into 4 equal parts?
A 50 m eletric wire was divieded into 4 equal segments what is the lenth off each segment
An ARC is part of the circumference of a circle.
The area enclosed by two radii and the arc is named a SEGMENT>
A part of a circle is called a?
Two radii ; lines from the circle centre to the circumference. That part of the circumference between the two radii is named an ARC.
The area enclosed by the two radii and the arc is named a SEGMENT>
NB 'Radii' is the plural noun of radius ; NOT radiuses. It is pronounced as ray = dee = eye '.
In maths what is a tangent and what is a chord?
Tangent:
In geometry, the tangent line (or simply the tangent) is a curve at a given point and is the straight line that "just touches" the curve at that point. As it passes through the point where the tangent line and the curve meet the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.
Chord:
A chord of a curve is a geometric line segment whose endpoints both lie on the outside of the circle.
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What is the Square root of 66 in radical form?
sqrt(66) = sqrt(2 x 3 x 11) =
sqrt(2) X sqrt(3) X sqrt(11) or
2^(1/2) X 3^(1/2) X 11^(1/2) = 66^(1/2)
Since 2.3. & 11 are all prime number , their square roots are Irrational. Hence sqrt(66) is also irrational .
Triangles can be classified into different shapes.
Equilateral ; All sides the same length ; all angles equal 60 degrees.
Isosceles ; Two sides the same length ; two angles equal size.
Right-Angled ; Three sides can be of different lengths ; MUST have one right-angle.
Scalene ; All sides of different lengths ; all angles of different size.
Common 2-dimensioanal characteristics for ALL triangles. ; -
They contain three(3) sides
They contain three(angles)
The internal angles ALWAYS sum to 180 degrees.
A triangle may also be named a TRIGON ; A polygon of three sides.
NB Triangles drawn on a 3-dimensional surface ( sphere ), the above characteristics can vary.
What is the length of a hypotenuse of a right triangle with legs with lengths of 5 and 4?
Apply Pythagoras.
h^(2) = leg-1^(2) + leg-2^(2)
Substitute
h^(2) = 5^(2) + 4^(2)
h^(2) = 25 + 16
h^(2) = 41
h = sqrt(41)
h = 6.4031..... This is an irrational number answer , as '41' is a prime number.
How do you make a 70 degree angle with a ruler and a compass?
In this simple construction, the horizontal and vertical lines are evident. The red line terminates at the middle of three closely spaced collinear points, which is equidistant from the other two. The red angle measures approximately 70.002°. Angles with values very close to 8, 38, 134, and 46 degrees are also formed in the same construction.
y = x - 4
x^(2) + y^(2) = 8
Hence
y^(2) = 8 - x^(2)
Square up the linear eq'n and substitute
Hence
y^(2) = ( x - 4)^(2)
NB Notice the RHS is wholly squared , not individual terms.
Substitute ; this eliminates 'y'
( x - 4)^(2) = 8 - x^(2)
Square out the brackets
x^(2) - 8x + 16 = 8 - x^(2)
Collect terms
2x^(2) -8x +8 = 0
Factor
2(x^(2) - 4x + 4) = 0
(x- 2)(x - 2) = 0
Hence x = 2 ( The 'x' coordinate) .
Substitute into either eq;n for 'y'
y = 2 - 4
y = -2
Hence
( x,y) = ( 2,-2) ; The point of contact of the tangent and the curve.
-2
What is the largest area that you can have if the perimeter is 24 feet?
You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.
You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.
You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.
You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.
What is the formula of the area and perimeter?
Example: To find the perimeter of a rectangular box, with length as 6cm and Breadth as 4 cm, we need to use the formula, Perimeter of a Rectangle = 2 (L+B) = 2 ( 6 cm + 4 cm) = 2 × 10 cm = 20cm.
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Slope of 4x plus 2y equals 12?
4x + 2y = 12
Rearrange into straight line equation ( y = mx + c)
Where 'm' is the slope/gradient.
Hence
2y = -4x + 12
y = -2x + 6
Hence '-2' is the gradient /slope.
What statement about Pinochets regime Chile is true?
His suspension of civil rights led to many disappearances.
What is the rule to calculate the circumference of a circle?
Circumference equals the diameter multiplied to 'pi'.
Algebraically it is written as
C = pi d
NB 'pi' is an irrational number , of the value 3.141592.... Approximated to 3.14 or 3.1416
