Find the length of the diagonal of a rectangle if its sides are 9 cm and 40 cm long.
| February 10, 2021 | education
The diagonal and two sides of the rectangle form a right-angled triangle, the legs of which are the sides of the rectangle, and the hypotenuse is the diagonal of the rectangle.
To find the diagonal, we use the Pythagorean theorem. The sum of the squares of the legs is equal to the square of the hypotenuse.
s² = 9² cm + 40² cm = 1681 cm.
s = √1681 cm = 41 cm.
Answer: the length of the diagonal is 41 cm.
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