carleycash2011
carleycash2011 carleycash2011
  • 20-10-2020
  • Mathematics
contestada

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 triangle below class=

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Sueraiuka
Sueraiuka Sueraiuka
  • 20-10-2020

Step-by-step 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;

[tex]p = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

Put all values.

[tex]a = \sqrt{ {10}^{2} - {5}^{2} } [/tex]

[tex]a = \sqrt{100 - 25} [/tex]

[tex]a = \sqrt{75} [/tex]

[tex]a = 5 \sqrt{3} [/tex]

Therefore, answer is Option E.

Hope it helps..

Ver imagen Sueraiuka
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Antelope29
Antelope29 Antelope29
  • 20-10-2020
I think it would have to be letter E
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