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Anna35 [415]
3 years ago
5

The base of a triangle is 6 meters longer than the height of the triangle. If the area of the triangle is 56

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

Height = 8

Base = 14

Step-by-step explanation:

Base=x+6

Height=x

Area of a triangle is 1/2bh.

1/2·x·(x+6)=56

x²+6x=112

x²+6x-112=0

(x+14)(x-8)=0

x=-14 or x=8

Since x can’t equal a negative number, it must be 8.

Height=x = 8

Base=x+6 = 8+6 = 14

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