Question

What is the length of the altitude of the equilateral triangle below?

Answer 1

the altitude of an equilateral triangle is always 1/2 * sqrt(3) * the length of the sides...

Answer 2

The altitude divides the triangle into a 30-60-90 triangle. So we can use the 30-60-90 Triangle Theorem to find the altitude. which is:
hypotenuse= 2 x shorter leg
Longer leg = sqrt(3) x shorter leg

Answer 3

so the answer is d?

Answer 4

the answer is not d.

Answer 5

what is 6sqrt(3) * sqrt(3) * 1/2?

Answer 6

Does sqrt(3) x 6 sqrt(3) = 3sqrt(3)? If so, yes. If not, obviously it's not D.

Answer 7

Understand?

Answer 8

no i dont @hlambach

Answer 9

@mtbender74 help?

Answer 10

is it 9?

Answer 11

Okay, so, according to the 30-60-90 Triangle Theorem:
hypotenuse= 2 x shorter leg
Longer leg = sqrt(3) x shorter leg

You already know the hypotenuse and the shorter leg. If you need to know the longer leg (altitude), what do you need to do according to the 30-60-90 Triangle Theorem?

Answer 12

Does it fit? If 3sqrt(3) x sqrt(3) = 9, then yes, it is right.

Answer 13

Check with a calculator if you want.

Answer 14

yes thank you

Answer 15

Your welcome! :) Thanks for the medal, too! :)

Answer 16

no problem