Question

The legs of a 90-45-45 triangle are 3 and 7. What is the hypotenuse?

Answer 1

The hypotenuse is
`√(58)`

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2 + 7^2 = c^2

9 + 49 = c^2

58 = c^2

Taking the square root of each side

`√(58) = √(c^2)`

`√(58) =c`