Question

The drawing below shows three squares joined at their vertices to form a right triangle. The area of square A is 9 ft2 and the area of

square B is 16 ft². What is the side length of square C?

25
7
8
5

Answer 1

side length of square C is 5 ft

Explanation:

A, B andC are the areas of the sides of a right triangle.

C is the square on the hypotenuse of the right triangle.

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

C² = A² + B² = 9 + 16 = 25 ft²

the area of a square is s² , where s is the side length, then

s² = 25 ( take square root of both sides )

s =
`√(25)` = 5 ft