# Is a triangle with sides of 3,4,6 a right triangle?

##### 2 Answers

It is not a right triangle.

#### Explanation:

To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side.

In other words, check if it works with the Pythagorean theorem:

Does

Since

Hope this helped!

A triangle with sides of **Right triangle**.

#### Explanation:

We are given three sides of a triangle

**Pythagoras Theorem** states that in a right angled triangle, **the square of the hypotenuse** is equal to **the sum of the squares of the other two sides.**

To determine whether the three given sides form a right triangle, we use the **Pythagoras Theorem** to verify.

Draw a **triangle**, say

Note that the **longest side (BC) ** has a magnitude of

Hence, this must be the **Hypotenuse**, if triangle ABC is a right-triangle.

Does the angle

Verify that using the relationship between the hypotenuse and the other two legs of the triangle.

If **Hypotenuse** and the triangle

Hence,

Hope it helps.