温馨提示：本站仅提供公开网络链接索引服务，不存储、不篡改任何第三方内容，所有内容版权归原作者所有
AI智能索引来源：http://www.edu.com/math-glossary/Perimeter-Of-A-Triangle-Definition-Examples
点击访问原文链接

Perimeter Of A Triangle – Definition, Examples | EDU.COM

进入原网站 导航首页
Perimeter Of A Triangle – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Perimeter of A TrianglePerimeter Of A Triangle – Definition, ExamplesTable of ContentsPerimeter of a Triangle Definition of Perimeter of a Triangle

A triangle is a closed, 2-dimensional shape with three sides, three angles, and three vertices. The perimeter of a triangle is the sum of all its sides, which is the total length of its boundary. It is measured in linear units like inches, feet, or yards. The formula for finding the perimeter of a triangle is simply adding the lengths of all three sides: a+b+ca + b + ca+b+c, where a, b, and c are the lengths of the three sides.

There are different types of triangles with specific perimeter formulas. An equilateral triangle has three equal sides, and its perimeter equals 3a3a3a (where a is the length of each side). An isosceles triangle has two equal sides, and its perimeter is 2a+c2a + c2a+c (where a represents the equal sides and c the unequal side). For a scalene triangle with all different sides, the perimeter remains a+b+ca + b + ca+b+c. A right-angled triangle has one 90° angle, and its perimeter can be calculated using the Pythagorean theorem: b+p+p2+b2b + p + \sqrt{p^2 + b^2}b+p+p2+b2​.

Examples of Perimeter of a Triangle Example 1: Finding the Perimeter of an Equilateral Triangle Problem:

Find the perimeter of an equilateral triangle with side 6 inches.

Step-by-step solution:

Step 1, Recall the formula for the perimeter of an equilateral triangle. Since all sides are equal, we can use the formula: Perimeter = 3 × side length.

Step 2, Substitute the side length into the formula. We know the side is 6 inches, so: Perimeter = 3×63 \times 63×6

Step 3, Calculate the final answer. Perimeter = 3×6=183 \times 6 = 183×6=18 inches

Perimeter of a Triangle

Example 2: Finding the Perimeter of an Isosceles Triangle Problem:

What is the perimeter of an isosceles triangle whose equal sides are 4 feet each and the unequal side is 6 feet?

Step-by-step solution:

Step 1, Identify the sides of the isosceles triangle. In an isosceles triangle, two sides are equal. Here, the equal sides are 4 feet each, and the unequal side is 6 feet.

Step 2, Apply the formula for the perimeter of an isosceles triangle: Perimeter = 2a + b, where a is the length of each equal side and b is the length of the unequal side.

Step 3, Substitute the values into the formula. Perimeter = 2×4+62 \times 4 + 62×4+6

Step 4, Calculate the final answer. Perimeter = 8+6=148 + 6 = 148+6=14 feet

Perimeter of a Triangle

Example 3: Finding a Missing Side Length Problem:

If the perimeter of the given triangle is 34 feet, what is the length of the missing side?

Perimeter of a Triangle

Step-by-step solution:

Step 1, List the known information. We know two sides of the triangle: XY = 9 feet and XZ = 12 feet. We also know the perimeter is 34 feet.

Step 2, Use the formula for the perimeter of a triangle. The perimeter equals the sum of all three sides: Perimeter = XY + YZ + XZ

Step 3, Substitute the known values into the formula. 34=9+YZ+1234 = 9 + YZ + 1234=9+YZ+12

Step 4, Simplify the equation to find the missing side. 34=YZ+2134 = YZ + 2134=YZ+21

Step 5, Solve for YZ by subtracting 21 from both sides. YZ=34−21=13YZ = 34 - 21 = 13YZ=34−21=13 feet

Comments(5)NNatureLoverSeptember 17, 2025I’ve been using this page to help my kids with their math homework, and it’s been a lifesaver! The examples for different triangle types made everything so much clearer. Thanks for breaking it down so well!

NNatureLover75September 10, 2025I’ve used this page to help my kids understand the perimeter of a triangle better. The examples are super clear, and the step-by-step explanations made it easy for them to follow. Great resource for homework!

NNatureLover25August 27, 2025This page was a lifesaver for my kid’s homework! The examples made everything so clear, and now they’ve got the hang of finding triangle perimeters. Thanks for making math simple!

MCMs. CarterAugust 20, 2025I’ve used this page to help my kids understand triangle perimeters, and it’s been a game-changer! The examples are clear, and the formulas for different triangles made homework so much easier.

MCMs. CarterAugust 6, 2025This page was super helpful for my 6th grader! The examples made it easy for her to understand how to calculate the perimeter of different triangles. We even used it to check her homework!

Explore More TermsScale FactorArea of A SectorCircumscribeConvex PolygonY InterceptX CoordinateView All Math TermsRecommended Interactive LessonsDivide by 13Math3.OA.C.7Multiply by 73Math3.OA.C.7Word Problems: Addition and Subtraction within 1,0003Math3.NBT.A.2Mutiply by 23Math3.OA.C.7Compare Same Numerator Fractions Using Pizza Models3Math3.NF.A.3dMultiplication and Division: Fact Families with Arrays3Math3.OA.A.1View All Interactive LessonsRecommended VideosOrder Numbers to 5KMathK.CC.A.2 K.CC.B.4cAdd within 100 Fluently2Math2.NBT.B.5Read And Make Bar Graphs2Math2.MD.D.10Patterns in multiplication table3Math3.OA.D.9Add Mixed Numbers With Like Denominators4Math4.NF.B.3cDivide Whole Numbers by Unit Fractions5Math5.NF.B.7bView All VideosRecommended WorksheetsUnderstand AdditionKMathK.OA.A.1Describe Positions Using Above and BelowKMathK.G.A.1Subtract 0 and 1KMathK.OA.A.2, K.OA.A.5Estimate Lengths Using Customary Length Units (Inches, Feet, And Yards)2Math2.MD.A.3Compare and Order Rational Numbers Using A Number Line6Math6.NS.C.7aRates And Unit Rates6Math6.RP.A.2View All WorksheetsRecommended Coloring PagesDragon fruit sliced in half showing seeds, no backgroundPre-K – KAll SubjectsFairy holding a bird on her fingerPre-K – KAll SubjectsSnowy path leading through a forest with simple trees1 – 2All SubjectsPetunia with a butterfly flying nearby, grass at the bottom1 – 2All SubjectsLifeboat with a seagull perched on the edge and waves in the background1 – 2All SubjectsSeagull and a crab having a picnic on the beach5 – 6All SubjectsView All Coloring PagesRecommended BlogsTeaching Kanji Stroke Order: A Foundation for Young LearnersNovember 13, 2025Best Reading for Beginners: Building Strong FoundationsNovember 12, 2025What Is Structured Literacy? A Complete Guide for K-6 Teachers and ParentsNovember 9, 2025Simple Thesis Statement Examples for Elementary WritersOctober 14, 2025The Science of Reading: Evidence-Based Strategies for K-6 SuccessSeptember 22, 2025Reading for Beginners: A Data-Driven Guide to Building Strong Literary FoundationsSeptember 17, 2025View All Blog PostsQUICK LINKSAbout UsPrivacy PolicyTerms of ServiceTOOLSHomework HelperGuide DesignerPodcast MakerPlan BuilderRESOURCESMath GlossaryEnglish GlossaryEnglish Language ArtsMathematicsScienceBook InsightsFun with WordsBlog© 2025 EDU.COM. All rights reserved.

智能索引记录