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What is the altitude of an equilateral triangle whose perimeter is 12?

Answer 1

Eli Assouline

Altitude of equilateral triangle #=2sqrt3#

Perimeter of equilateral triangle #=12#

Each side of triangle , #a=12/color(blue)(3) =4#

Formula for altitude of equilateral triangle #=color(purple)(sqrt3/2 * a#.

#=sqrt3/2 xx 4#

#=sqrt3/cancel2 xx cancel4#

#=sqrt3 * 2#

#=2sqrt3#

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Answer 2

Eva Abramson

The altitude of an equilateral triangle can be calculated using the formula:

[ \text{Altitude} = \frac{\sqrt{3}}{2} \times \text{Side Length} ]

Given that the perimeter of the equilateral triangle is 12, we can find the side length by dividing the perimeter by 3:

[ \text{Side Length} = \frac{12}{3} = 4 ]

Substitute the side length into the formula to find the altitude.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.