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What is the perimeter of an equilateral triangle whose height is 2 square root of 3

2 Answers

1 vote

Answer:

Explanation:

If we half the base of the equilateral triangle, which has a length of xcm, we can form a right-angled triangle with a base of x/2 cm and height 2√3 cm.

Now using Pythagoras' Theorem we solve for the hypotenuse:


x^(2) = ((x)/(2))^(2) + (2√(3))^(2)\\ x^(2) = (x^(2))/(4) + 12\\ 4x^(2) = x^(2) + 48\\ 3x^(2) = 48\\ x^(2) = 16\\x = \frac{+}{}4\\ \\

x must be positive as it is a length so we multiply 4 by 3 to get the perimeter of 12.

User Mitselplik
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6.8k points
13 votes

Answer:

the answer for this is 12

User Florent Bruneau
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