Question

Find the missing length of the longer leg in the

30° – 60° – 90° triangle.
short leg = 2
a 2v3
b7v2
с 67
d 475

Answer 1

So

We know the ratio

• x:y:z=30:60:90=1:√3:2

Now

x=2

So

• 2:y=1:√3
• y=2√3

And

• 2:z=1/2
• z=4

Option A

Answer 2

• A) 2√3

Explanation:

Side ratios of 30°-60°-90° triangle:

• a : b : c = 1 : √3 : 2

Given:

• a = 2

Find b:

• 2 : b = 1 : √3
• b = 2*√3/1
• b = 2√3

Correct choice is A