Question

What is the length of an altitude of an equilateral triangle who side length is 8 multiplied by the square root of three?

Answer 1

The altitude of the equilateral triangle is 12.

Answer 2

Thank you!
How did you figure that out?

Answer 3

To answer this you must compare this triangle to a special 30-60-90. Since we know that the hypo of this triangle is 8√3 all we do is set this equal to the hypo on the special triangle and solve for x:

2x = 8√3

x = 4√3

Since the altitude of the special triangle is x√3, we now set these equal to each other to find the altitude of our equilateral triangle:

(4√3)(√3)

Which equals 12.

The altitude of the equilateral triangle is 12.

Answer 4

u get it ( that took a long time to write

Answer 5

Yes, thank you :)

Answer 6

kk