you can't, because the Pythagorean theorem is for right triangles and the triangles formed by the diagonal of a parallelogram are not right triangles.
The pythagorean theorem is a+b=c. So, a+b equals two of the three sides. Using your knowledge of what those two sides are will help you with figuring out the third side, but technically, the pythagorean theorem is used only for right triangles. a and b are the two straight sides and c is the diagonal side. your welcome. 8th grader
15 cm Solved through Pythagoras' theorem.
Easiest thing to do here would be to draw a diagram and label the sides with their lengths and draw a line for the diagonal. You can see the diagonal forms part of a right-angled triangle, with its shorter lengths 35 cm and 12 cm. So using Pythagoras's Theorem, x2 = 352 + 122 = 1369 x = square root of 1369 = 37 cm.
Using Pythagoras' theorem it is about 10.81665383 inches.
No. The diagonal through a rectangle can be computed via the Pythagorean theorem: c2 = a2 + b2 where c is the diagonal length and a and b are the horizontal and vertical lengths of the rectangle.
length2+width2 = diagonal2 and the square root of this is the size of the diagonal
Divide the rectangle in two triangles and then use the pythagorean theorem to find the remaining sides.
12 Pythagorean theorem
You can use pythagorean theorem twice to find the diagonal of a cube
If you know the lengths of the four sides that make up the rectangle (I assume this question is referring to a rectangular object) you can use the pythagorean theorem (a^2 + b^2 = c^2) to solve for the length of the diagonal which is represented in the formula by the letter c.
Pythagorean Theorem: a2+b2=c2 c=diagonal, a and b are side lengths for a right triangle (a rectangle is basically two right triangles) 92=52+a2 a2=92-52 a=~7.48 feet 7.48 feet*5 feet = 37.41 feet = the area of the rectangle
Hypotenuse.
The sum of the lengths of the two diagonals in a rectangle can be found using the Pythagorean Theorem. For a rectangle with sides measuring 5 and 12 units, the length of the diagonal can be calculated as √(5^2 + 12^2). Therefore, the sum of the lengths of the two diagonals in this rectangle would be 5√(5^2 + 12^2) units.
Not always, the diagonal can be figured out using the Pythagorean Theorem (a²+b²=c²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.
By the Pythagorean Theorem, the diagonal is the hypotenuse of the right triangle formed by the diagonal and the two included sides. c2 = a2 + b2 so the diagonal is the square root of the sum of the squares of the rectangle's length and width. Example : for a rectangle 4 x 3, the diagonal is sqrt(32 + 42) = sqrt (25) = 5
Since a diagonal divides a rectangle into two triangles, this is actually a problem in trigonometery. Since a rectangle has right angles, the resulting triangles also have right angles, therefore you can apply the Pythagorean Theorem. Or, just take your ruler and measure the diagonal. That's the direct approach.