Question

Find x and y

Answer 1

Answer:

x = y = 4$\sqrt{2}$

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = $\frac{\sqrt{2} }{2}$  , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{8}$ ( multiply both sides by 8 )

8 × cos45° = x , then

x = 8 × $\frac{\sqrt{2} }{2}$ = 4$\sqrt{2}$

The third angle in the triangle = 45° ( sum of angles in triangle )

Then the triangle is isosceles with congruent legs, thus

x = y = 4$\sqrt{2}$