### All PSAT Math Resources

## Example Questions

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

Find the height of a triangle if the area of the triangle = 18 and the base = 4.

**Possible Answers:**

6

4

1

9

**Correct answer:**

9

Explanation:

The area of a triangle = (1/2)bh where b is base and h is height. 18 = (1/2)4h which gives us 36 = 4h so h =9.

### 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:**

20

10

18

9

12

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

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

**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 .

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### All PSAT Math Resources

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