Question

Find the length of the hypotenuse inside is 45 degrees in the up corner and 3 square root 2

Answer 1

length of the hypotenuse = 6

Explanation:

We need to find the length of the hypotenuse

So the triangle is right angle triangle.

Given one angle is 45 degree.

When one angle is 45 degree then the other side of the angle is also 45 degree. so the length of other leg is also
`3√(2)`

To find the length of hypotenuse we apply Pythagorean theorem

hypotenuse ^2 = side length^2 + side length ^2

hypotenuse^2 =
`(3√(2))^2 +  (3√(2))^2`

= 18 + 18 = 36

hypotenuse ^2 = 36

Take square root on both sides

hypotenuse = 6