Question

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

Answer 1

Answer:

$x=37\,\sqrt{2}$

Step-by-step 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:

$sin(45^o)=\frac{opposite}{hyp} \\hyp=\frac{opposite}{sin(45^o)} \\hyp=\frac{37}{\sqrt{2}/2}\\hyp=37\,\sqrt{2}$