SOLUTION: The area of a triangle is 34 cm^2. If the base of the triangle is increased by 5 cm, the area of the triangle would be 51cm^2. How long is the base of the triangle?

Question 919552: The area of a triangle is 34 cm^2. If the base of the triangle is increased by 5 cm, the area of the triangle would be 51cm^2. How long is the base of the triangle?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The area of a triangle is 34 cm^2. If the base of the triangle is increased by 5 cm, the area of the triangle would be 51cm^2. How long is the base of the triangle?
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Area = (1/2)(base)(height)
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Original Area:: 34 = (1/2)(b*h)
b*h = 68
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New Area::
51 = (1/2)(b+5)h
102 = bh + 5h
102 = 68 + 5h
5h = 34
h = 6.8
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Ans: b = bh/h = 68/6.8 = 10 cm
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Cheers,
Stan H.
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Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

The area of a triangle is:
given
=> ..........eq.1

If the base of the triangle is increased by , the area of the triangle would be .

..........eq.2
How long is the base of the triangle?
solve the system:
..........eq.1
..........eq.2
_________________________________________subtract 1 from 2

go to eq.1 and plug in for
..........eq.1.....solve for

...the base of the triangle

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