# Suppose that a triangle has side lengths of 10, 11, and 17. Is the triangle as acute, obtuse, or right? How do you know? Explain.

##### 1 Answer

Dec 8, 2017

This is an **Obtuse Triangle**

#### Explanation:

Start by calculating the squares of each side. We know that if sum of squares of two smaller sides equal the largest side, it is a right triangle (Pythagoras theorem).

We note that *obtuse triangle*.

Following is a general rule for a triangle with three sides,

**Right Triangle **

**Acute Triangle**

**Obtuse Triangle **

You can verify it by trying an equilateral triangle (which is an acute triangle),