Question

The area of a triangle is 10 square meters. The height is one meter longer than the base. What are the lengths of the base and height of the triangle?

Answer 1

b=4, h=5

Step-by-step explanation:b(b+1) divided by 2 is 10, so b(b+1)=20 so b^2 + b =20 so b^2 +b -20=0 which equals (b+5)(b-4), giving us solutions -5 and 4. However, -5 is invalid bc it is negative, so base must be 4 making height 5