SOLUTION: The area of a triangular flag is 42 Square centimeters. It’s altitude is 2 Centimeters longer than twice its base. Find the length of the altitude and the base

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Question 1187911: The area of a triangular flag is 42 Square centimeters. It’s altitude is 2 Centimeters longer than twice its base. Find the length of the altitude and the base
Found 2 solutions by Alan3354, Solver92311:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
The area of a triangular flag is 42 Square centimeters. It’s altitude is 2 Centimeters longer than twice its base. Find the length of the altitude and the base
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b*h = 84
h = 2b+2
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it's = it is

Answer by Solver92311(821) (Show Source):
You can put this solution on YOUR website!

The area of a triangle is found by dividing the product of the altitude and the base by 2, to wit:

Since you know that the altitude is 2 cm longer than twice the base, you can say:

Then since you are given that the area is 42 cm², you can say:

Simplifying:

Solve the factorable quadratic for the positive root (a negative number for the measure of the base of a triangle would be absurd). Then calculate the altitude from

John

My calculator said it, I believe it, that settles it

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