regi5678 regi5678

23-01-2020
Mathematics

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What is the altitude of an equilateral triangle with a side length of 10 in.

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profarouk profarouk

23-01-2020

Good morning,

Answer:

[tex]\frac{\sqrt{3} }{2} a[/tex]

Step-by-step explanation:

h = altitude

side = a

using Pythagorean theorem: in the right triangle:

h² = a² - (a/2)²

= a² - a²/4

= 3/4a²

= [(√3/2)×a]²

⇒ h = (√3/2)×a.

:)

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