Question

The length of a rectangle i 12m and the length of it diagonal i 15m.Find

the width of the rectangle.

Answer 1

width = 9 m

Explanation:

the diagonal divides the rectangle into 2 right triangles.

using Pythagoras' identity on one of the triangles

with legs 12 and width (w) and hypotenuse (diagonal) 15 , then

w² + 12² = 15²

w² + 144 = 225 ( subtract 144 from both sides )

w² = 81 ( take square root of both sides )

w =
`√(81)` = 9

that is the width of the rectangle is 9 m