Question 1008708: A triangle table top had a base that is twice as long as it's height of the area of the table surface is 334 square inches what is the value of the height and the base
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! The area of the triangle is bh/2. So we have to "undo" the formula.
The area is 334 Since this is the result of dividing bh/2, let's multiply times 2:
334*2= 668. OK, and 668 is the result of bh. And the problem says that:
b= 2h, so let's rewrite the formula:
2h*h= 668 Multiply on left:
2h^2= 668 Divide both sides by 2:
h^2= 334 Take the square root on both sides:
h= 18.28 is the height, and the base is:
18.28*2= 36.56 is the base.
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Check:
Area of the triangle:
(b*h)/2=
(36.56*18.28)/2= 668.32/2= 334.16 We have a small decimal because of the rounding of numbers but the answer is correct, we have the right answer. Round it off to 334.
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