Answer:
Height = 20, Base = 6
Step-by-step explanation:
The area of a triangle is [tex]\frac{bh}{2}[/tex]
where b is the base and h is the height
[tex]H = 3B + 2\\\frac{B(3B + 2)}{2}=60\\\\3B^2 + 2B = 120\\3B^2+2B - 120=0\\[/tex]
We can factor by grouping
[tex]3B^2 - 18B + 20B - 120 = 0\\3B(B - 6) + 20(B-6) = 0\\GCF the (B-6)\\(B-6)(3B+20)=0\\B = 6, B = \frac{-20}{3}[/tex]
Length can only be positive, so we know that the base is 6 in
The height must be 2 + 3(6) = 20
Height = 20, Base = 6
