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What is the area of an equilateral triangle with a perimeter of 6 inches?

Answer 1

#A# = #sqrt(3)#

An equilateral triangle has #3# sides and all the measures of its sides will be equal. So, if the perimeter, the sum of the measure of its sides, is #6#, you must divide by the number of sides, #3#, to get the answer:

#6/3# = #2#, so each side is #2# inches.

#A = (a^2sqrt(3))/4#, where #a# is the side. Plug in your variable, #2#.

#A# = #(2^2sqrt(3))/4#

#A=(color(red)(cancel(color(black)("4")))sqrt(3))/(color(red)(cancel(color(black)("4")))) #

#A# = #sqrt(3)#

Source: https://tutor.hix.ai

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Answer 2

Autumn Armstrong

The area of an equilateral triangle with a perimeter of 6 inches is approximately 1.30 square inches.

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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.