Question

Geometry Help -- 30-60-90 and 45-45-90 triangles

Answer 1

The answer is in the picture. And there’s some basic trig about 30-60-90 and 45-45-90 triangles

Answer 2

w = (10√3)/3

x = 5

y = 5√2

z = (5√3)/3

Explanation:

→ The length of "x" is also 5 units because 45-45-90 triangles have the same leg lengths.

→ The length of "y" is 5√2 units because the hypotenuse of a 45-45-90 triangle is √2 times bigger than either leg length.

→ The length of "z" is 5/√3 or (5√3)/3 units because the longer leg length of a 30-60-90 triangle is √3 times bigger than the shorter leg length

→ The length of "w" is (10√3)/3 units because the longer leg length is 2 times bigger than the shorter leg length of a 30-60-90 triangle

See below for more information about general rules for 30-60-90 and 45-45-90 triangles!