# In a right triangle, is the side opposite the right angle the shortest side?

##### 1 Answer

Dec 28, 2015

No. It is the longest side. It can be shown by using the Sines Theorem.

#### Explanation:

We will show that the side opposite to the right angle is the longest side in a right triangle.

According to the Sine Theorem for every triangle we have:

Let's assume, that angle

So we can calculate

In the same way we can show that