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

Jobs in Pakistan Induction process Test Prep Sections Practice MCQs Admission Tests Test Sections Success on Tests Study in USA Pak Universities Employment ISSB Preliminaries Articles and Essays Schools & Colleges Study Abroad Career News

Arithmetic Geometry Data Interpretation Problem Solving Data Sufficiency Quant. Comparison

English Vocabulary English Correction Antonyms Synonyms Analogies Fill in the Blanks Critical Reading Text Completion

Number Series Picture Pattern Critical Reasoning Analytical Reasoning

Writing

Physics Chemistry Biology Mathematics Pak Penal Code Islamic Hudood Laws

Geometry Strategies Basic Lessons Intermediate Lessons Challenging Lessons Finding Degree Measurements Angles Vertical Angles Angles Terms And Rules Alternate Angles and Tranversal Triangles Triangles Lengths of Sides Triangles Side-Angle Relationship Popular Pythagorean Ratios Triangles Area Using Ratios Perimeter of Triangle 30-60-90 Triangles Rectangles Quadrilaterals Parallelograms Squares Areas Of Quadrilaterals Areas Of Rectangles And Squares Basics Next Steps Degree 45, degree 90,degree Isosceles Triangle

MCQ with question Explanations Scholarships and Financial Aid

Lesson: Geometry - 15

Popular Pythagorean Ratios

Test Prep Lessons With Video Lessons and Explained MCQ

Current Menu

More for You

Data Sufficiency

Quantitative Comparison

ISSB - Group Discussion

You may be interested in

Colleges in Sahiwal

Colleges in Peshawar

Boost your Memory

World Organizations and General Issues

ISSB Tests

SAT-Subject Physics

Engineering Universities in Sindh

Engineering Universities in KPK

About us

Quick Test Prep

Study Abroad

Lesson: Geometry - 15

Popular Pythagorean Ratios

Test Prep Lessons With Video Lessons and Explained MCQ

Current Menu

Main Menu (Click/Tap to Open)

Current Menu

Quantitative

Verbal

Logical/Reasoning

Writing

Subjects

Geometry

More for You

Data Sufficiency

Quantitative Comparison

ISSB - Group Discussion

You may be interested in

About us

Quick Test Prep

Study Abroad