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Area And Perimeter Of Triangle – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Area and Perimeter of TriangleArea And Perimeter Of Triangle – Definition, ExamplesTable of ContentsArea and Perimeter of Triangle Definition of Triangle and Its Properties

A triangle is a three-sided closed figure, one of the basic shapes in geometry with 333 sides and 333 vertices. Triangles can be classified based on the length of their sides as equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides different). Each type has unique characteristics that affect how we calculate their measurements.

The perimeter of a triangle is the total length of its boundary, found by adding the lengths of all three sides. If a triangle has sides of lengths a, b, and c, then its perimeter equals a+b+ca + b + ca+b+c. The area of a triangle represents the space it occupies and can be calculated using the formula Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}Area=21​×base×height, where height is the perpendicular distance from a vertex to the opposite side.

Examples of Area and Perimeter of Triangle Example 1: Finding the Perimeter of a Scalene Triangle Problem:

The sides of a triangle have the following lengths: 20 cm20\text{ cm}20 cm, 16 cm16\text{ cm}16 cm, and 12 cm12\text{ cm}12 cm Find the perimeter of the triangle.

triangle

Step-by-step solution:

Step 1, Remember that the perimeter is the sum of all sides of a shape. For a triangle, we add all three sides together.

Step 2, Add the lengths of all three sides: 20 cm+16 cm+12 cm=48 cm20 \text{ cm} + 16 \text{ cm} + 12 \text{ cm} = 48 \text{ cm}20 cm+16 cm+12 cm=48 cm

Step 3, The perimeter of the triangle is 48 cm48\text{ cm}48 cm .

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

An equilateral triangle has one side of length 6 cm6\text{ cm}6 cm. Find the perimeter of the triangle.

equilateral triangle

Step-by-step solution:

Step 1, Recall that an equilateral triangle has all three sides equal in length. In this case, each side is 6 cm6\text{ cm}6 cm.

Step 2, To find the perimeter, add all three sides together: 6 cm+6 cm+6 cm=18 cm6 \text{ cm} + 6 \text{ cm} + 6 \text{ cm} = 18 \text{ cm}6 cm+6 cm+6 cm=18 cm

Step 3, The perimeter of the equilateral triangle is 18 cm18\text{ cm}18 cm.

Example 3: Finding the Area of a Triangle Problem:

The height of a triangle is 4 cm4\text{ cm}4 cm, and its base is 5 cm5\text{ cm}5 cm. Find its area.

triangle

Step-by-step solution:

Step 1, Recall the formula for finding the area of a triangle: Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}Area=21​×base×height

Step 2, Plug in the given values into the formula: Area=12×5 cm×4 cm\text{Area} = \frac{1}{2} \times 5 \text{ cm} \times 4 \text{ cm}Area=21​×5 cm×4 cm

Step 3, Perform the multiplication: Area=12×20 cm2=10 cm2\text{Area} = \frac{1}{2} \times 20 \text{ cm}^2 = 10 \text{ cm}^2Area=21​×20 cm2=10 cm2

Step 4, The area of the triangle is 101010 square centimeters.

Comments(7)DDriverZachNovember 4, 2025I've used this page to teach my students. The clear defs and examples for area & perimeter of triangles really helped them grasp the concepts!

SSurferDanNovember 4, 2025I've used this glossary page to teach triangle area and perimeter. The examples are super helpful for students to grasp the concepts easily!

MCMs. CarterSeptember 17, 2025I used the Area and Perimeter of Triangle page to help my kids with their homework, and it was a lifesaver! The examples were super clear, and they finally grasped the formulas. Thanks for making math easier to teach!

NNatureLover25September 10, 2025I’ve been using the Area And Perimeter Of Triangle page to help my kid with math homework, and it’s been a lifesaver! The examples are super clear and easy to follow. Highly recommend it!

MCMs. CarterAugust 27, 2025This page was super helpful for my kids' homework! The examples made it easy to explain the formulas for different triangles. I’ve bookmarked it for future use!

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