Question

The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?

Answer 1

The legs of a 45 45 90 triangle are congruent so if one leg is x we can write (using the Pythagorean Theorem):

x² + x² = 18²

2x² = 324

x² = 162

x = 9√2