# If a triangle has sides 6, 8, and 10, is it acute, right, or obtuse?

##### 1 Answer

Jun 12, 2016

A

#### Explanation:

Either recognize that

or

Take the sum of the squares of the shorter two sides:

and

the square of the longest side

Since these are equal, by the Pythagorean Theorem, the triangle is a right triangle. (if the square of the longest side had been greater the triangle would have been obtuse; if it had been smaller, the triangle would have been acute).