Question

Which equation would best help solve the following problem?

The height of a triangle is 6 m more than its base.

The area of the triangle is 56 m2. Find the length of the base.
Question 1 options:

56=1/2(x)(x+6)

56=12(x^2+6)

56=(x)(x+6)

56=x^2+6

Answer 1

The first one because to obtain the area of a triangle is a=(height)(base)/2
If the base is x the height is x+6
Using the formula:

56=(x)(x+6)/2

which is the same than the first