SOLUTION: please explain how i would do this problem the directions are find the unknown dimension. A triangle has an area of 5 square meters and a base of 2x. what is the height of the tria

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Question 234695: please explain how i would do this problem the directions are find the unknown dimension. A triangle has an area of 5 square meters and a base of 2x. what is the height of the triangle in the terms of x. also what does in the terms of x mean
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

"In terms of " means your answer is going to have an in it.

The area of a triangle is given by:



Where is the measure of the base and is the measure of the height.

You want to know the height given the area and an expression for the measure of the base, so solve the area formula for height in terms of the quantities you know, namely the area and the measure of the base: (multiply both sides by 2, and then divide by )



Now just plug in your values:



Simplify the right-hand expression and you have it.

John