The area of a triangle is 2x^2 - 11x + 15 square meters. The length of the base of the triangle is 2x-5 meters. What is the height of the triangle?

of triangle =12base×height

Area of triangle =2x2−11x+15

base =2x−5

Plugging in the given;

2x2−11x+15=12(2x−5)×height

2x2−11x+15=2x−52×height

2x2−11x+151=2x−52×height

2(2x2−11x+15)=(2x−5)×height

4x2−22x+30=(2x−5)×height

4x2−22x+302x−5=height

Resolving the quadratic equation;

(4x2−22x+30)

Simplifying;

4x

stops on an even number.