Answer:
6 inches
Step-by-step explanation:
The formula for the area of a triangle is
[tex]Area = \frac{1}{2} (bh)[/tex]
b - base
h - height
the first step is to add the information that we know into the formula.
We know the area = [tex]15 inches^{2}[/tex] and the height = 5 inches
[tex]15 in^{2} = \frac{1}{2} (b)(5)[/tex]
if we had both the base and the height, the next step would be to multiply
b x h then half the answer to work out the area but as we already have the area ([tex]15in^{2}[/tex]) we need to work in reverse.
15 x 2 = 30
what is 5 multiplied by to get 30?
5 x ? = 30
30 ÷ 5 = 6
∴ the base = 6inches
to check if our answer is correct, we can place these numbers into the formula
A = [tex]\frac{1}{2} (6)(5)[/tex]
A = [tex]\frac{1}{2} (30)[/tex] (30 ÷ 2 = 15)
A = 15[tex]in^{2}[/tex]
I hope this was helpful :-)
