FAQs-Area of Triangle with 3 Sides

What is a Triangle with 3 Different Sides?

Triangle with 3 different sides is known as scalene triangle.

How do you Find Area of Triangle with 3 Sides?

Area of a triangle with 3 sides can be found using Heron’s Formula i.e. A = √{s(s-a)(s-b)(s-c)}.

What is Area of Triangle with 3 Equal Sides?

Area of Triangle with 3 Equal Sides (i.e., equilateral triangle) is given as √{s(s-a)3} by Heron’s Formula.

Putting s = 3a/2, we get, A = √3a2/4.

What is Formula for Area of Triangle with Base and Height?

Formula for area of triangle with base and height is given as, A = 1/2 × Base × Height.

What is Formula for Area of Triangle with 3 Points?

Formula for the area of a triangle with three points (x1, y1), (x2, y2), and (x3, y3) is |(x1(y2−y3) + x2(y3−y1) + x3(y1−y2))/2|.



Area of Triangle with 3 Sides

Area of Triangle when measures of its three sides are given is found using Heron’s formula. The area of any two-dimensional shape is the measure of a region’s size on a surface. A triangle is a closed polygon having three sides and three vertices. Area of a triangle can be found using different methods. One of them includes determining the area using measures of the length of each side of the triangle.

In this article, we will discuss that method, the formula, and some solved examples based on the calculation of the area of a triangle with three sides.

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What is the Area of a Triangle with 3 Sides Formula?

Area of Triangle with 3 sides is calculated using Heron’s Formula. The formula was given by a Greek Mathematician named Heron. The formula can be further extended to calculate area of quadrilaterals. Heron’s Formula for Area of Triangle with 3 sides is given as follows:...

Proof of Formula for Area of Triangle with 3 Sides

Formula for Area of Triangle with 3 Sides can be derived two ways...

How to Find Area of Triangle with 3 Sides?

Steps to calculate area of triangle with 3 sides are discussed as follows:...

Comparison with Other Area Formulas

Following is a table discussing other formulas to find area of different triangles:...

Examples on Area of Triangle with 3 Sides

Example 1: Find the area of a triangle with measure of three sides as 3 cm, 4 cm and 5 cm respectively....

Practice Problems on Area of Triangle with 3 Sides

P1: Find the area of a triangle having sides as 4 cm, 6 cm and 12 cm....

FAQs-Area of Triangle with 3 Sides

What is a Triangle with 3 Different Sides?...