Question

Find the value of x for the triangle.
37
37
45°
45°

Answer 1

`x=37\,√(2)`

Explanation:

Notice you are dealing with a right angle triangle, since one of the angles measure
`90^o`. Now, what you are asked to find is the hypotenuse of that triangle, given an angle of
`45^o` and the opposite side: 37 units. Then, we can use for example the sine function which relates opposite, and hypotenuse:

`sin(45^o)=(opposite)/(hyp) \\hyp=(opposite)/(sin(45^o)) \\hyp=(37)/(√(2)/2)\\hyp=37\,√(2)`