Question

Find the area of a square with diagonal of 8 cm.

32 cm2
16 cm2
18 cm2
12 cm2

Answer 1

A

Explanation:

Let the side of the square = s

The area is s^2

A = s^2

But the Pythagorean Theorem says that

s = s

s = s

d = 8cm

s^2 + s^2 = a^2

2s^2 = 8^2 Divide by 2

2s^2/2 = 64/2

s^2 = 32

So the area is 32 cm^2

A