### All PSAT Math Resources

## Example Questions

### Example Question #131 : Geometry

If a = 7 and b = 4, which of the following could be the perimeter of the triangle?

I. 11

II. 15

III. 25

**Possible Answers:**

II Only

I, II and III

I and II Only

II and III Only

I Only

**Correct answer:**

II Only

Explanation:

Consider the perimeter of a triangle:

P = a + b + c

Since we know a and b, we can find c.

In I:

11 = 7 + 4 + c

11 = 11 + c

c = 0

Note that if c = 0, the shape is no longer a trial. Thus, we can eliminate I.

In II:

15 = 7 + 4 + c

15 = 11 + c

c = 4.

This is plausible given that the other sides are 7 and 4.

In III:

25 = 7 + 4 + c

25 = 11 + c

c = 14.

It is not possible for one side of a triangle to be greater than the sum of both of the other sides, so eliminate III.

Thus we are left with only II.

### All PSAT Math Resources

Popular Subjects

LSAT Tutoring in Boston, SAT Tutoring in Seattle, ACT Tutoring in Atlanta, Physics Tutoring in Chicago, SSAT Tutoring in Washington DC, Calculus Tutoring in Seattle, Computer Science Tutoring in Miami, Spanish Tutoring in New York City, Spanish Tutoring in Atlanta, Algebra Tutoring in Dallas Fort Worth
Popular Courses & Classes

Spanish Courses & Classes in Philadelphia, GRE Courses & Classes in Seattle, ACT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in New York City, LSAT Courses & Classes in Denver, ACT Courses & Classes in Boston, ISEE Courses & Classes in Seattle, GRE Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Washington DC, SAT Courses & Classes in San Francisco-Bay Area
Popular Test Prep

ACT Test Prep in New York City, LSAT Test Prep in Seattle, GRE Test Prep in Washington DC, ACT Test Prep in Phoenix, MCAT Test Prep in Atlanta, SAT Test Prep in San Diego, ACT Test Prep in Boston, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Dallas Fort Worth, GRE Test Prep in New York City