The base of a triangle is 3 ft more than the height. If the area is 14 ft², find the base and the height.

he298c

he298c

Answered question

2021-02-05

The base of a triangle is 3 ft more than the height. If the area is 14 ft², find the base and the height.

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-02-06Added 91 answers

The area of a triangle with base b and height h is given by: A=12bh
We are given that b=h+3 so we have: 14=12(h+3) have
Multiply both sides by 2: 28=h2+3h
Subtract 28 from both sides: 0=h2+3h28
Factor the right side: 0=(h+7)(h4)
By zero product property: h=-7,4
The height cannot be negative so we have: h=4ft
which follows that: b=4+3
b=7ft
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

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