# What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?

**Solution:**

From the pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse.

Let a = 5, b = 12,

To find: the hypotenuse 'c'

a^{2} + b^{2} = c^{2}

Substituting the values

5^{2} + 12^{2} = c^{2}

By further calculation

25 + 144 = c^{2}

169 = c^{2}

c = √169

So we get,

c = 13

Therefore, the length of the hypotenuse is 13.

## What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?

**Summary:**

The length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12 is 13.

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