An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle? HELP ASAP

Question

An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP

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bonexptip 3 years 2021-08-24T21:36:09+00:00 1 Answers 10 views 0

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  1. Orla
    0
    2021-08-24T21:37:56+00:00
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    Answer:

    18 inches.

    Step-by-step explanation:

    Let x inches be the altitude of the triangle.

    By Pythagoras Theorem,

    [6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

    108 + x^2 = 432

    x^2 = 324

    x = 18

    So the altitude of the triangle is 18 inches.

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