Question

Segment BC is an altitude of triangle ABC. Find the area of the triangle.

36 square units
18 square units
9 square units
6 square units

Answer 1

The answer is:
`9` square units.

The explanation for this exercise is shown below:

1. The altitude BD divides the triangle into two right triangles. Therefore, to calculate the total area of the triangle, you can calculate the area of the right triangles and sum them.

2. The formula for calculate the area of the triangles is:

`Area=((base)(heigth))/(2)`

3. The area of the triangle on the left is:

`A1=((3units)(4units))/(2)=6units^(2)`

4. The area of the triangle on the right is:

`A2=((3units)(2units))/(2) =3units^(2)`

5. The total area is:

`image`