Question

What is the value of x? Round your answer to the nearest tenth if necessary.
http://static.k12.com/calms_media/media/1577500_1578000/1577937/1/0b5c127cb718155694b24016e90684a968eb20be/MS_IMC-150120-130105.jpg

Answer 1

Pythagorean theorem states that a^2 + b^2 = c^2

so a = 14 b = x and c = 20 (the hypotenuse)
Plug it into the formula

14^2 + x^2 = 20^2
196 + x^2 = 400
x^2 = 204
x = 14.28285

^ x = 14.3
(rounded to the nearest tenth)