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MakcuM [25]
3 years ago
7

The height of a triangle is 7 ft more than its base. if the area of the triangle is 30 ft^ what is the lentgh of the base

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus  x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
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The 5 people can seat in a row in 5! ways
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</span>
<span>=====================================================
</span>
<span>Another solution:
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<span>If ann seated in one of the ends, the number of ways = 3*2
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