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Triangle ABC is equilateral. Find the height of BD

Triangle ABC is equilateral. Find the height of BD-example-1
User MrClan
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2 Answers

4 votes

Answer:

c

Explanation:

User Eric Gopak
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5.9k points
0 votes

Answer:

C) 4√3

Explanation:

The given triangle is an equilateral triangle. BD is angle bisector.

Triangle BCD is a 30-60-90 degree triangle in the ration of 1:√3:2

Here we are given BC, that is highest length of the side.

So 2x = 8

x = 8/2

x = 4.

BD = √3 x

Now plug in x =4, we get

Height (BD) = 4√3

Thank you.

User Irbanana
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5.5k points