SOLUTION: Which statements about finding the area of the equilateral triangle are true? Check all that apply. https://media.edgenuity.com/evresources/8101/8101-10/8101-10-04/8101-10-04-asse

Question 1131625: Which statements about finding the area of the equilateral triangle are true? Check all that apply.
https://media.edgenuity.com/evresources/8101/8101-10/8101-10-04/8101-10-04-assessment/8101-10-04-23-image1.PNG
The apothem can be found using the Pythagorean theorem.
The apothem can be found using the tangent ratio.
The perimeter of the equilateral triangle is 15 cm.
The length of the apothem is approximately 2.5 cm.
The area of the equilateral triangle is approximately 65 cm2.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

1. The apothem can be found using the Pythagorean theorem->The statement is
we know that
If ABC is an equilateral triangle (see the attached figure with letters to better understand the problem)
then

cm
Applying the Pythagorean Theorem

cm
cm

2.The apothem can be found using the tangent ratio->The statement is
we know that

cm

3. The perimeter of the equilateral triangle is ->The statement is
we know that perimeter of the equilateral triangle is equal to

4. The length of the apothem is approximately cm ->The statement is
see 1. and 2.

5. The area of the equilateral triangle is approximately ->The statement is
Applying the law of sines

therefore
the answer is:
The apothem can be found using the Pythagorean theorem
The apothem can be found using the tangent ratio
The length of the apothem is approximately

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