Question

A triangular bandana has an area of 70 square inches. The height of the triangle is `8 3/4` inches. How do you write and solve an equation to find the length of the base of the triangle?

Answer 1

`A=1/2*b*h` then use base `b=(2A)/h`
`b=2*70/(35/4)=16" "`units

Explanation:

For the Area A of a triangle

Formula: `A=1/2bh`

since we are looking for b:

A=1/2bh#
multiply both sides of the equation by 2

`2*A=2*1/2*bh`

`2*A=cancel2*1/cancel2*bh`

`2*A=bh`

divide both sides of the equation by h

`(2*A)/h=(bh)/h`

`(2*A)/h=(bcancelh)/cancelh`

`(2*A)/h=b`

`b=(2*A)/h`

given `A=70` and `h=8 3/4=35/4`, solve for b

`b=(2*70)/(35/4)`

`b=16" "`units

God bless...I hope the explanation is useful.