Question

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

Answer 1

Explanation:

x=5
`√(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
`√(2)`)^2+(5
`√(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
`√(3)`

z=10
`√(3)`