129k views
4 votes
**PLEASE HELP**
What is the length of the altitude of the equilateral triangle below?

**PLEASE HELP** What is the length of the altitude of the equilateral triangle below-example-1

1 Answer

6 votes
For any 30-60-90 triangle:
Let the length of hypotenuse = x
∴ The leg which faces the angle 30 = (1/2) x
And the leg which faces the angle 60 = (√3/2) x
So, The ratio between two legs will be
= (1/2) x : (√3/2) x ⇒⇒⇒⇒ divide over x
= 1/2 : √3/2 ⇒⇒⇒⇒ multiply by 2
= 1 : √3

Or the ratio will be

= (√3/2) x : (1/2) x ⇒⇒⇒⇒ divide over x
= √3/2 : 1/2 ⇒⇒⇒⇒ multiply by 2
= √3 : 1
==============================

The correct answer will be option B only

B. 1 : √3







User Tandav
by
5.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.