Question

Find the missing side lengths. Leave your answers as radicals in the simplest form.

Answer 1

Apply the property of 30-90-60 angle

• a:b:c=1:√3:2

So

• y=14√3/√3=14
• x=2(y)=2(14)=28

Answer 2

• x = 28, y = 14

Explanation:

Use the property of 30°-60°-90° right triangle.

The ratio of sides:

• a : b : c = 1 : √3 : 2

Compare with the given:

• y : 14√3 : x = 1 : √3 : 2
• y = 14√3 / √3 = 14
• x = 2*14 = 28