Question

Geometry help? Will fan and medal!!

Answer 1

sup

Answer 2

what is the question?

Answer 3

^^

Answer 4

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

Answer 5

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 6

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 7

Okay. I see that

Answer 8

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 9

does that make sense?

Answer 10

yeh

Answer 11

your welcome

Answer 12

You can also do this with the Pythagorean theorem.
Since triangle ABC is equilateral, and all its sides measure 8, then
segment CD measures 4. Triangle BCD is a right triangle with a hypotenuse of length 8
and a leg of length 4. You can use the Pythagorean theorem to find the length
of the other leg, segment BD.
\(a^2 + b^2 = c^2\)
\(4^2 + (BD)^2 = 8^2\)
\(16 + (BD)^2 = 64\)
\((BD)^2 = 48\)
\(BD = \sqrt{48} = \sqrt{16 \cdot 3}\)\)
\(BD = 4\sqrt{3} \)

Answer 13

@sammixboo i posted it