# High School Math : How to find the area of an acute / obtuse triangle

## Example Questions

### Example Question #334 : Plane Geometry

Find the area of a triangle whose base is  and whose height is .

Possible Answers:

Correct answer:

Explanation:

This problem is solved using the geometric formula for the area of a triangle.

Convert feet to inches.

### Example Question #1 : How To Find The Area Of An Acute / Obtuse Triangle

If triangle ABC has vertices (0, 0), (6, 0), and (2, 3) in the xy-plane, what is the area of ABC?

Possible Answers:

18

9

20

10

12

Correct answer:

9

Explanation:

Sketching ABC in the xy-plane, as pictured here, we see that it has base 6 and height 3. Since the formula for the area of a triangle is 1/2 * base * height, the area of ABC is 1/2 * 6 * 3 = 9.

### Example Question #335 : Plane Geometry

What is the area of a triangle with a height of  and a base of ?

Possible Answers:

Correct answer:

Explanation:

When searching for the area of a triangle we are looking for the amount of the space enclosed by the triangle.

The equation for area of a triangle is

Plug the values for base and height into the equation yielding

Then multiply the numbers together to arrive at the answer .

### Example Question #2 : How To Find The Area Of An Acute / Obtuse Triangle

The height, h, of triangle PQR in the figure is one-fourth the length of PQ. In terms of h, what is the area of triangle PQR?

Possible Answers:

Correct answer:

Explanation:

If *, then the length of  must be .

Using the formula for the area of a triangle (), with , the area of the triangle must be .