Question

Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the third vertex of the triangle? A (5,6) B (6,6)

C (-5,1) D (-4,1)

Answer 1

1. To solve this problem, you must follow the proccedure shown below:

2. The problem gives the following information:

- Two vertices of a right triangle are (0,1) and (0,6).
- The area of the triangle is 10 units².

3. When you plot the points, you can see that the vertices given form the heigth of the triangle:

h=5 units

4. Now, you must apply the formula for calculate the area of a triangle and clear the base, as below:

A=bxh/2
b=2A/h
b=2(10 units²)/5 units
b=4

5. Therefore, the correct answer is the option D: D (-4,1)