# How do you find the perimeter of a right triangle?

The perimeter of a right triangle means the sum of its boundary of all three sides

## Answer: Perimeter of a right triangle is a + b + \(\sqrt{a^2 + b^2}\)

Let's understand the usage of Pythagoras theorem to find the dimensions of the right-angled triangle

## Explanation:

Let 'a' be the length of the base and 'b' be the length of the height or perpendicular of a right triangle.

the hypotenuse is given by \(\sqrt{a^2 + b^2}\)

We know that,

Perimeter = Sum of all the three sides

= Base + Height + Hypotenuse

So, Perimeter of Right Triangle = a + b + \(\sqrt{a^2 + b^2}\)

### Hence, the perimeter of a right triangle is a + b + \(\sqrt{a^2 + b^2}\)

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