Question

Find the length of a side of a square whose diago- nal is 16 cm long. Round your answer to the nearest tenth.

Answer 1

11.3

use Pythagoras theorem give each side is "a"

a^2+a^2=16^2

2*a^2=256

a^2=256/2=128

a=sqrt(128)=11.3 sqrt=square root

Answer 2

11.3 cm

Explanation:

(see attached for reference)

using the Pythagorean theorem

hypotenuse ² = length ² + length ²

16² = L² + L²

16² = 2L² (express 2 = (√2)²

16² = (√2)²L²

16² = (√2L)²

16 = √2L

L = 16 /√2

L = 11.3 cm