Question

The base of a triangle is given as 2b. The height of the triangle is given as 5b-7. Find an expressions for the area of the triangle. If the area of the triangle is 24 square unirse, what is the base?​

Answer 1

Explanation:

Area = 1/2 * 2b * (5b - 7)

Area = 1/2 * 2b * (5b - 7) = 24

b * (5b - 7) = 24

5b^2 - 7b = 24

5b^2 - 7b - 24= 0

(b- 3 )(5b + 8) = 0

b = 3 This the only solution that works. b can't be minus

The base is 2b or 2 * 3 = 6