Chapter 8.6, Problem 35PPE

To determine

To calculate: Height of the triangle and Formula for the area of a triangle.

Answer to Problem 35PPE

  $6x+4$

Explanation of Solution

Given information: A triangle has an area $9x^2-9x-10$ . Base of the triangle is $3x-5$

Formula used:

  $A=\frac{1}{2}\times b\times h$ Here A is area, b is base and h is height

Calculation:

From $A=\frac{1}{2}\times b\times h$ we get $h=\frac{2A}{b}$

  $h=\frac{2(9x^2-9x-10)}{3x-5}$

  $h=\frac{2(3x+2)(3x-5)}{3x-5}=6x+4$

By factoring, the given base number is cancelled by the one monomial which we get from factoring.