Question

The diagonal of a rectangle is 25 cm long. the length of the rectangle is 24 cm.

how wide is the rectangle?

Answer 1

width = 7 cm

Explanation:

the diagonal of the rectangle divides the rectangle into 2 right triangles.

using Pythagoras' identity on the right triangle with legs 24 and width w, with hypotenuse the diagonal of 25 , then

w² + 24² = 25²

w² + 576 = 625 ( subtract 576 from both sides )

w² = 49 ( take square root of both sides )

w =
`√(49)` = 7

the rectangle is 7 cm wide