Chapter 4.8, Problem 36HP

To determine

Toexplain:

The coordinates and position the triangle on the coordinate plane.

Answer to Problem 36HP

The coordinates and position the triangle on the coordinate plane is $\left(0,a\right)$ .

Explanation of Solution

Given information:

Vertex coordinates $=\left(0,0\right),\left(a,0\right)$

Since two vertices of the triangle are $\left(0,0\right),\left(a,0\right)$ so one side of the triangle is on the $x-$ axis and has a length of $a$ . To create an isosceles triangle, choose the point $\left(0,a\right)$ on the $y-$ axis such that a second side of the triangle will also have a length of $a$ .

Connect $\left(a,0\right)$ and $\left(0,a\right)$ to form the third side an isosceles right triangle.

  

Therefore, a third vertex in terms of $a$ that would make the triangle isosceles could be $\left(0,a\right)$ .