Question

Find the length of the leg x. Enter the exact value, not a decimal approximation.

Answer 1

x = 2√13.

Explanation:

Using the Pythagoras theorem:

14^2 = x^2 + 12^2

x^2 = 14^2 - 12^2

x^2 = (14 + 12)(14 - 12) = 52

x = √52

x = √4*√13

x = 2√13.