Find the value of x in the triangle shown below

C 13

Step-by-step explanation:

A 5,12,13 right triangle is the second triple on the list of Pythagorean Triples, after 3,4,5.  Those two (and their multiples) are some teacher favorites for making problems, so it's worth memorizing the first few triples so we don't have to calculate when we see them.

If we did have to calculate we'd get

x² = 12² + 5² = 144 + 25 = 169 = 13²

C x=13

applying Pythagorean theorem

H²=P²+B²

H²=5²+12²

H²=25+144

H²=169

H=√169

H=13..

hence,, the value of x is 13