### 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 #1 : 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.

Mahdi

Certified Tutor

Certified Tutor

Rutgers University-New Brunswick, Civil Engineer, Civil Drafting and Civil Engineering. George Washington University, Current...