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eduard
3 years ago
5

3h - 5h + 11 = 17 Please help me.

Mathematics
1 answer:
allsm [11]3 years ago
5 0
3h - 5h + 11 = 17
3h - 5h = 17 - 11
- 2h = 6
2h = - 6
h = - 6/2
h = - 3
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The height of a triangle is 5 m less than its base. The area of the triangle is 42 m².
SCORPION-xisa [38]
A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
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Answer:

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