Chapter 11.1, Problem 39HP

To determine

To Describe: To describe the area of the given triangle

Answer to Problem 39HP

The answer is area remains same.

Explanation of Solution

Given information: Given lines p and m are parallel.

Formula used: Area of triangle $=\frac{1}{2}\times \text{base}\times \text{height}$

Let the distance of the parallel side be x and the base JL be y of the given triangle.

According to question.

  $\text{Area}\text{of}\Delta \text{JKL}=\frac{1}{2}xy$

Now, as K moves on the line the distance remains same that is height of the triangle is constant.

Hence, the area of the given triangle remains same even K moves on the line.