Question

3 Find the value of each variable.

Answer 1

a = 10; b = 20; c = 10; d = 10√3

Explanation:

For a 45-45-90 triangle, the ratio of the side lengths is

1 : 1 : √2

a = c = (10√2)/√2 = 10

For a 30-60-90 triangle, the ratio of the side lengths is

1 : √3 : 2

d = 10√3

b = 20