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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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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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Mathematics
3 years
2021-08-24T21:36:09+00:00
2021-08-24T21:36:09+00:00 1 Answers
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Answers ( )
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.