Question

The height of a triangle is 12 cm longer than it’s base. The area of the triangle is 80 cm^2. What is the base of the triangle?
Please show how you got the answer!!

Answer 1

Answer:

8 cm

Step-by-step explanation:

let base=x cm

height=x+12

area=1/2 x(x+12)=80

x(x+12)=80×2

x²+12x=160

x²+12x-160=0

x²+20x-8x-160=0

x(x+20)-8(x+20)=0

(x+20)(x-8)=0

either x=-20 (rejected)

or x=8

so base=8 cm