# sss Inequality

If we understand the properties of SSS inequality, we can solve many triangles more easily. Let''s find out how:

## The definition of SSS inequality

The Hinge Theorem helps us understand the relationship between the side lengths and included angles of two triangles when two pairs of corresponding sides are congruent. It states that:

If two sides of one triangle are congruent to the two sides of a second triangle, and the included angle of the first triangle is greater than the included angle of the second triangle, then the third side of the first triangle must be longer than the third side of the second triangle.

Conversely, if two sides of one triangle are congruent to the two sides of a second triangle, and the included angle of the first triangle is smaller than the included angle of the second triangle, then the third side of the first triangle must be shorter than the third side of the second triangle.

Consider two triangles, ΔABC and ΔPQR, with the following congruent sides:

If

If

∠P, then BC

QR

The Hinge Theorem is useful in solving problems where we need to compare the lengths of the non-congruent sides of two triangles when we know the corresponding sides and the included angles. By using the theorem, we can establish the relationship between the side lengths and draw conclusions accordingly.

## Topics related to the sss Inequality

## Flashcards covering the sss Inequality

Common Core: High School - Geometry Flashcards

## Practice tests covering the sss Inequality

Common Core: High School - Geometry Diagnostic Tests

Intermediate Geometry Diagnostic Tests

## The power of math tutoring

Math tutoring gives your student the chance to ask questions that teachers didn''t have time to answer in the classroom. It can also help them catch up with their classmates if they''re falling behind. Contact Varsity Tutors today to get your student started with math tutoring.

- Series 24 Courses & Classes
- CCNA Wireless - Cisco Certified Network Associate-Wireless Courses & Classes
- Series 14 Test Prep
- Utah Bar Exam Courses & Classes
- Series 99 Courses & Classes
- Global Studies Tutors
- CDR Exam - Cardiovascular Disease Recertification Exam Tutors
- Indiana Bar Exam Courses & Classes
- ASPIRE Courses & Classes
- AP Spanish Language & Culture Tutors
- New Mexico Bar Exam Test Prep
- Oregon Bar Exam Courses & Classes
- REGENTS Courses & Classes
- Series 52 Test Prep
- Mental Math Tutors
- ABIM Exam - American Board of Internal Medicine Test Prep
- FE Exam - Professional Licensed Engineer Fundamentals of Engineering Exam Courses & Classes
- Applied Physics Tutors
- PHP Tutors
- CPA Test Prep