Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 8 and 12?

Answer 1

The length of the hypotenuse is equal to `sqrt208`.

Explanation:

By the Pythagorean Theorem, which claims that in the right angled triangle with sides `a`, `b` and `c`, the following relation is true :

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

In our case, `a =8` and `b=12`.

Plugging these values to `c`, we get

`c^2 = 8^2+12^2`
`c^2=64+144`

`color(red)(c=sqrt208`