Asked by Stan Lee Jr.

Suppose you know the perimeter and the height of an equilateral triangle. Explain how you would find the area of the triangle.
Please help me

Answers

Answered by Reiny
The height of an equilateral triangle is a function of its perimeter.
So you don't need both pieces of information, as a matter of fact, they
could contradict each other

suppose you know that the perimeter is 6x units, (2x on each side)
then the height is:
h/x = tan60
h = xtan60 = √3x

area = (1/2)(base)(height) = (1/2)(2x)(√3x)
= √3 x^2

@Mrs sue
Ms Sue was one of our most respected tutors here for many years.
Unfortunately, she passed away last December and we all miss her.
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