Question

Please help me I will give branliest! Find the two missing sides and write your answer as in simplified radical form. image attached

Answer 1

Answer:

x = y = 15$\sqrt{2}$

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = $\frac{\sqrt{2} }{2}$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{30}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

2x = 30$\sqrt{2}$ ( divide both sides by 2 )

x = 15$\sqrt{2}$

The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so

y = x = 15$\sqrt{2}$