# How does the length of the hypotenuse in a right triangle?

## Question: How does one find the length of the hypotenuse in a right triangle?

The length of the hypotenuse in a right triangle can be found out using the Pythagoras Theorem

## Answer: We can find the length of the hypotenuse in a right triangle using pythagoras theorem

Any triangle with one angle equal to 90 degrees will satisfy Pythagoras theroem

## Explanation:

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs.

If AB, BC, and AC are the sides of the triangle, then: **BC ^{2} = AB^{2} + AC^{2}**

where, AB is the base, AC is the altitude or the height, and BC is the hypotenuse.

While if a, b, and c are the sides of the triangle, then c^{2} = a^{2} + b^{2}

where, c = hypotenuse , a and b are base and the height of the triangle

### Hence the length of the hypotenuse in a right triangle can be found out using the Pythagoras Theorem

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