Question

What is the exact value for x

Answer 1

Answer:
`6√(2)`

Explanation:

We know that one angle is 45 degrees and another is 90 degrees. That means the third angle is also 45 degrees, because all angles in a triangle add up to 180 degrees. This means that the triangle we are dealing with is an isosceles right triangle, meaning the the 2 equal legs form a right angle and are equal in length. If one leg is 6, the other leg must be 6, too.

Then, by the Pythagorean theorem, x=
`√(6^2+6^2)`=
`√(72)=6√(2)`.