Question

A triangle has side lengths 10, 15, and 7. Is the triangle acute, obtuse, or right? Show your work and explain.

Answer 1

use pythagoras' theorem

right angle

\[c^2 = a^2 + b^2\]
obtuse is

\[c^2 > a^2 + b^2\]

and acute if

\[c^2 < a^2 + b^2\]

you have c = 15, a = 10 and b = 7

hope it helps

Answer 2

did you get what campbell_st said?