Question

Use special right triangles to solve for all the variables. Leave your answers in simplest radical form.

Answer 1

Answer:

Step-by-step explanation:

x=5$\sqrt{2}$ because it is an isosceles right triangle , as we have and angle of 45 and one of 90

y is the hypothenuse of the triangle

y^2=(5$\sqrt{2}$)^2+(5$\sqrt{2}$)^2=50+50=100

y=10

the larger triangle is 30-60-90

side opposite of 90 degrees is 2y

r=20

side opposite of 60 degrees is y$\sqrt{3}$

z=10$\sqrt{3}$