Which equation would best solve the following problem? the height of a triangle is 5 m less than its base. the area of the triangle is 42 m2. find the length of the base.

Answer with Step-by-step explanation:

Let b be the length of the base

The height of a triangle is 5 m less than its base.

i.e. height= b-5

The area of the triangle is 42 m².

We know that the area of triangle is given by:

Here,

Multiplying by 2 on both sides, we get

b(b-5)=84

b²-5b-84=0

b²-12b+7b-84=0

b(b-12)+7(b-12)=0

(b+7)(b-12)=0

either b+7=0 or b-12=0

either b= -7 or b=12

b can't be negative so, b=12

Hence, Length of base is:

12 m

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