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

User Jhong
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1 Answer

3 votes

Good morning,

Answer:


(√(3) )/(2) a

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.

:)

User Nbrosz
by
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