SOLUTION: A triangle has a height that is 2 more than 3 times the base and an area of 60 square units. Find the base and height.

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Question 337447: A triangle has a height that is 2 more than 3 times the base and an area of 60 square units. Find the base and height.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The area of a triangle is given by:



So for your triangle



But you are also given that



Substitute for and then solve for .

Hint: You will end up with a factorable quadratic. Discard the extraneous negative root.

John

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