### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Find The Height Of A Triangle

A triangle has a base of 5 cm and an area of 15 cm. What is the height of the triangle?

**Possible Answers:**

None of the above

6 cm

1.5 cm

3 cm

5 cm

**Correct answer:**

6 cm

Explanation:

The area of a triangle is (1/2)*base*height. We know that the area = 15 cm, and the base is 5 cm, so:

15 = 1/2 * 5 * height

3 = 1/2 * height

6 = height

### Example Question #1 : How To Find The Height Of A Triangle

In the figure above, *AB* = *AD* = *AE* = *BD* = *BC* = *CD* = *DE* = 1. What is the distance from *A* to *C*?

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #2 : How To Find The Height Of A Triangle

A triangles has sides of 5, 9, and . Which of the folowing CANNOT be a possible value of ?

**Possible Answers:**

**Correct answer:**

Explanation:

The sum of the lengths of the shortest sides of a triangle cannot be less than the third side.

3 + 5 = 8 < 9, so 3 can't be a value of x.

Jordan

Certified Tutor

Certified Tutor

Virginia State University, Bachelor of Science, Economics. Virginia State University, Master of Arts, Economics.

Don

Certified Tutor

Certified Tutor

Fort Lewis College, Bachelors, Mathematics, Geology. Virginia Polytechnic Institute and State University, PHD, Geosciences.