Question

If I have a triangle with a leg of 4 and a leg of 3 what is the length of the hypotenuse

Answer 1

5

Explanation:

To solve for hypotenuse we use the Pythagorean theorem:

`a^2+b^2=c^2`

In this theorem:

c= hypotenuse

a = leg

b = leg

Substitute into theorem:

`4^2+3^2=c^2`

`16+9=c^2`

`25=c^2`

(square root both sides)

`5=c`

Therefore the hypotenuse has a length of 5.

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