Answer to Question #171057 in Geometry for Irma

Question

A right triangle's hypotenuse has length 14. If one leg has length 8, what is the length of the other leg?

Answer 1

$from \,\, pythagoras\,\, theorem\,\, ,\\ (hyp)^2 = (adj)^2 + (adj)^2 \\ \implies 14^2 = 8^2 + x^2 \\ 196 = 64+x^2 \\ 196 - 64= x^2 \\ 132 = x^2 \\ \sqrt{132} = x \\ \therefore x = \sqrt{132} = 11.489125$