Question

Apply the 45°-45°-90° Triangle Theorem to find the length of the hypotenuse of the triangle

If the length of each leg of the triangle is 15√2 in, what is the length of the hypotenuse(c)?

Answer 1

30

Explanation:

The 45-45-90 Triangle Theorem states that in the isosceles 45-45-90 triangle, if we designate each leg as
`a`, the base, or hypotenuse is
`a√(2)` . Since we know the leg is
`15√(2)`, the hypotenuse would be:

`15√(2) * √(2) =\\15 * 2=\\30`