Chapter 12, Problem 24CR

To determine

To assign: The coordinates to each vertex.

Answer to Problem 24CR

The coordinates of each vertex are $O\left(0,0\right)$ , $A\left(a,0\right)$ , and $B\left(\frac{a}{2},b\right)$ .

Explanation of Solution

Given:

It is given that an isosceles triangle is placed in a coordinate plane in a way that is convenient for finding side lengths.

Calculation:

Place isosceles triangle $\Delta OAB$ with one vertex at the origin, and one side is on either x-axis or y-axis. Then, the vertices are located at $O\left(0,0\right)$ , $A\left(a,0\right)$ , and $B\left(\frac{a}{2},b\right)$ as shown in figure below.

  

Therefore, the coordinates of each vertex are $O\left(0,0\right)$ , $A\left(a,0\right)$ , and $B\left(\frac{a}{2},b\right)$ .