Question

WILL GIVE MEDAL

Triangle ABC is equilateral. Find the height of line segment BD

A. 6
B. 4
C. 4 times the square root of 3
D. 8 times the square root of 3

Answer 1

Step #1. Realize that since ABC is an equilateral triangle, all angles, A, B, and C are 60 degrees each.

Answer 2

ok

Answer 3

Step #2. Realize that Triangle BCD is a 30-60-90 right triangle, becuase in an equilateral triangle, the height, BD, is perpendicular to side AC, so angle D is 90 degrees.

Answer 4

Step #3. We want the length of BD. BD is the side opposite the 60-degree angle, angle C. As we said before, angle C is 60 degrees.

Answer 5

In a 30-60-90 right triangle, the side opposite the 60-degree angle is 1/2 the hypotenuse multiplied by sqrt(3).

Therefore, BD = (1/2)of 8 multiplied by sqrt(3)
= 4 sqrt (3)

Answer 6

Makes sense?

Answer 7

yeah:D

Answer 8

welcome.

Answer 9

thank you!!!!