Lesson: Geometry - 15

Popular Pythagorean Ratios

[Page 15 of 30]

There are two Pythagorean theorem ratios that test makers use again and again. One is the ratio you saw on the previous problem, in which the legs had lengths of 3 and 4, and the hypotenuse had length 5. These integers form the most common ratio; you'll see it all the time! Any time that you see a right triangle with two of the three components, you'll know the other one without having to calculate it.

Because this relationship is a ratio, it also works if we increase the size of each component proportionately. Be on the lookout for triangles with sides that are multiples of 3:4:5, like those with sides 6:8:10 or 9:12:15.

The other common ratio is 5:12:13, and you may see multiples of it as well.

Learn to recognize the 3:4:5 and 5:12:13 ratios in order to find lengths for these special triangles instantly, without calculations.

Example

Back Next

Next to display next topic in the chapter.

Test Prep Lessons With Video Lessons and Explained MCQ

Large number of solved practice MCQ with explanations. Video Lessons and 10 Fully explained Grand/Full Tests.

Quantitative Aptitude Reasoning English General Knowledge Picture Patterns
More for You
MCQ with question Explanations Scholarships and Financial Aid

Graphs - Data Interpretation

Lessons and practice questions for Data Interpsection - Graphs

Arithmetic

Lessons on Basic to Advance Arithmetic with practice questions

Join Pakistan Navy

Read about how you can join Pakistan Navy

All in this Category

You may be interested in

Colleges in Dera ismail khan

Find major schools in your location ...

Colleges in Sukkur

Find a comprehensive list of major ...

USA Study Visa

How to get USA Study Visa and what ...

Business School Admission Process

A detailed discussion about how you ...

GRE Biology

Find what is GRE Biology and how to ...

MCAT for Medical College Admission Test

Learn and prepare MCAT for admissio ...

Universities in Islamabad

A comprehensive list of universitie ...

IMSP Institute of Management Sciences

IMSP Institute of Management Scienc ...

About us

EntryTest.com is a test preparation service for students seeking successful career.

About Disclaimer

Quick Test Prep

NUST NET IBA Karachi SAT LUMS LCAT LSE

 

NTS GAT NTS NAT GMAT GRE ACT

Study Abroad

Education Abroad Business Schools MS in USA