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10 POINTS PLEASE HELP ASAP!!! What is the length of the altitude of the equilateral triangle below?

10 POINTS PLEASE HELP ASAP!!! What is the length of the altitude of the equilateral-example-1
User Henryyao
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7.7k points

2 Answers

4 votes
I think it would have to be letter E
User Suleika
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8.1k points
7 votes

Explanation:

Hey there!

Looking on figure we find that triangle ABC is a Right angled triangle.

Taking reference angle as C, we get;

Perpendicular (p) = a

Base(b) = 5

And hypotenuse (h)= 10

Now;

Using Pythagoras relation, we get;


p = \sqrt{ {h}^(2) - {b}^(2) }

Put all values.


a = \sqrt{ {10}^(2) - {5}^(2) }


a = √(100 - 25)


a = √(75)


a = 5 √(3)

Therefore, answer is Option E.

Hope it helps..

10 POINTS PLEASE HELP ASAP!!! What is the length of the altitude of the equilateral-example-1
User Moazzem Hossen
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8.2k points