### All High School Math Resources

## Example Questions

### Example Question #61 : Triangles

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

**Possible Answers:**

**Correct answer:**

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

Convert feet to inches.

### Example Question #141 : Plane Geometry

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

**Possible Answers:**

12

9

10

18

20

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

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

**Possible Answers:**

**Correct answer:**

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 #1 : 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:**

If *, then the length of must be .

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

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