Question

What is the length of the hypotenuse of a 45°-45°-90° triangle with legs that are 8 cm long?

Answer 1

Explanation:

Use your 45-45-90 special triangle with side lengths 1, 1, sqrt(2).

The given triangle has legs length 8 (given) which is 8 times the size of our special 1-1-sqrt(2) triangle.

Therefore the length of the hypotenuse is 8 times the length of the hypotenuse in our special triangle

= 8 sqrt(2)