Question

The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle? 2 cm cm 4 cm cm

Answer 1

Recall Pythagorean Theorem: a² + b² = c²

if c = 4cm and, by law of the 45°-45°-90° triangle, both legs are of the same length, we will denote thes

16 = 2( x² )     Divide both sides by 2

8 = x²             Take the square root of both sides

√8 = x

So, the length of each leg of the triangle measures √8 cm.

Answer 2

Answer:

see picture

Step-by-step explanation: