### All High School Math Resources

## Example Questions

### Example Question #1 : Applying The Law Of Cosines

In , , , and . To the nearest tenth, what is ?

**Possible Answers:**

A triangle with these sidelengths cannot exist.

**Correct answer:**

Explanation:

By the Triangle Inequality, this triangle can exist, since .

By the Law of Cosines:

Substitute the sidelengths and solve for :

### Example Question #1 : Triangles

A triangle has sides of length 12, 17, and 22. Of the measures of the three interior angles, which is the greatest of the three?

**Possible Answers:**

**Correct answer:**

Explanation:

We can apply the Law of Cosines to find the measure of this angle, which we will call :

The widest angle will be opposite the side of length 22, so we will set:

, ,

### Example Question #2 : Applying The Law Of Cosines

In , , , and . To the nearest tenth, what is ?

**Possible Answers:**

A triangle with these characteristics cannot exist.

**Correct answer:**

Explanation:

By the Law of Cosines:

or, equivalently,

Substitute:

### All High School Math Resources

Popular Subjects

GMAT Tutors in Seattle, Math Tutors in Atlanta, Physics Tutors in Denver, English Tutors in Miami, MCAT Tutors in Dallas Fort Worth, English Tutors in Atlanta, GRE Tutors in Washington DC, Calculus Tutors in Chicago, ISEE Tutors in Boston, Math Tutors in San Francisco-Bay Area
Popular Courses & Classes

MCAT Courses & Classes in Houston, GRE Courses & Classes in Philadelphia, GMAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Boston, GRE Courses & Classes in Chicago, SSAT Courses & Classes in Atlanta, Spanish Courses & Classes in San Diego, GMAT Courses & Classes in Denver, ACT Courses & Classes in Los Angeles, LSAT Courses & Classes in Dallas Fort Worth
Popular Test Prep

SSAT Test Prep in Phoenix, SAT Test Prep in Chicago, SAT Test Prep in Denver, ISEE Test Prep in Philadelphia, SAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Houston, GMAT Test Prep in Chicago, ACT Test Prep in Los Angeles, SAT Test Prep in San Diego, SSAT Test Prep in Atlanta