SOLUTION: a triangle is drawn in a regular pentagon. the height of the triangle is 6 cm and the area of the triangle is 24 cm square. find the perimeter of the pentagon

Question 498043: a triangle is drawn in a regular pentagon. the height of the triangle is 6 cm and the area of the triangle is 24 cm square. find the perimeter of the pentagon
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
I am assuming that the base of our trianlge is one of the sides of the pentagon.
We can find the length of the base by the area formula for the trianlge:
area = 1/2(base)(height)
24 = 1/2 base * 6
48 = (8)(6)
Therefore, our base is 8 cm.
This is also the side of the pentagon.
We will multiply be 5 since there are 5 sides.
To find the perimeter when we know a side, it is 8 * 5 = 40 cm.
Cleomenius.
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