Question

A rectangle with sides 13 cm and 7 cm has the same diagonal as a square. What is the length of the side of the square. Give your answer as a surd.

Answer 1

Explanation:

The diagonal ^2= 13^2+7^2

=169+49=218

diagonal = V218

the lengh of the square=l

l^2+l^2= 218

2l^2=218

l^2= 218/2= 109

l= ✓109