Question

The area of a triangle is given by (x2 + x – 2) square units, and the base is (x – 1) units. Find the height of the triangle.

Answer 1

Answer:

2x + 4

Step-by-step explanation:

Given :

Area : x² + x - 2

Base : x - 1

To Find :

Height

Solution :

We know that ,

Area of triangle = 1/2 * Base * Height

or, Height = 2* Area of triangle / Base

= 2*(x² + x- 2)/(x - 1)

= 2* (x² + 2x - x - 2) / (x - 1)

=2*{x(x + 2) - 1(x+2)}/(x-1)

=2*(x + 2)(x - 1)/(x - 1)

=2(x + 2)

=2x + 4

Therefore the required Height is 2x + 4 .