Question

A triangle with base b and height h is shown below. If the height of the triangle is 3 units more than the base, select the function that represents the area of the triangle. A. B. C. D.

Answer 1

The area of a triangle is given by the formula:

A = bh/2

If the height of the triangle is 3 units more than the base we can say that:

h = b + 3

Therefore, the area of the triangle will be:

A= b(b+3)/2

Where 'b' comes to be the base of the triangle.

Answer 2

A(b) =
`(1)/(2) (b^2 + 3b)`

Explanation:

Given: Height of the triangle is 3 units more than the base.

Let "b" be the base of the triangle.

So, h = b + 3

Area of a triangle A =
`(1)/(2) base * height`

Now plug in h = b +3 in the above area of formula, we get

A(b) =
`(1)/(2) b*(b + 3)`

Now we can multiply b and (b + 3), we get

A(b) =
`(1)/(2) (b^2 + 3b)`

Therefore, the answer is A(b) =
`(1)/(2) (b^2 + 3b)`