Question

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

Answer 1

Answer:
x = 2√13.

Step-by-step 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.