Triangle perimeter calculator

Perimeter is the distance around a two-dimensional shape.

Triangle — is a geometric figure that has three points that do not lie on the same line and three segments that pair these points in pairs. The points of a triangle are usually called its vertices, and the segments are called its sides.

A triangle is a three-sided polygon, and the perimeter of a triangle is the sum of its three sides. The formula for finding the perimeter of a triangle varies depending on the type of triangle. Our calculator can calculate the perimeter for different types of triangles.

Formulas for Triangle Perimeter

The formula for finding the perimeter of a triangle depends on the type of triangle:

• Triangle: The perimeter of a triangle is equal to the sum of the lengths of its sides.P = a + b + c where a, b, and c are the lengths of the three sides.
• Right Triangle through sides: In the right triangle, knowing the two legs, and using the Pythagorean theorem, one can easily find the hypotenuse, hence substituting the perimeter formula, we get the above mentioned formula. P = \sqrt{a^2 + b^2}+a+b where a and b are the lengths of the two sides, and c is the hypotenuse.
• Equilateral Triangle through height: It is possible to find the perimeter of an equilateral triangle, knowing only the height. Using the Pythagorean theorem, we express the side of the triangle in terms of height and get the following formula.P = 2\sqrt{3}h where h is the height.
• Isosceles Triangle through side and height: Since in the isosceles triangle the height facing the base divides the triangle into two equivalent right triangles, the perimeter will be equal to the sum of the perimeters of these triangles.P = 2 \left( \sqrt{a^2 - h^2} + a \right) where a is the length of the two equal sides, and h is the height.

How to Use the Triangle Perimeter Calculator

Our calculator makes it easy to find the perimeter of different types of triangles. To use the calculator:

• Choose the type of triangle you have.
• Enter the required values, such as the length of the sides or the height.
• The calculator will automatically calculate the perimeter of your triangle.

Examples of Finding the Perimeter of Different Types of Triangles

Here are some examples of finding the perimeter of different types of triangles using the formula:

Right Triangle

Find the perimeter of a right triangle with sides of length 3, 4.

P = \sqrt{3^2 + 4^2}+3+4 = 12

Equilateral Triangle

Find the perimeter of an equilateral triangle with a height of 6.

P = 2\sqrt{3}6=20.78

Isosceles Triangle

Find the perimeter of an isosceles triangle with equal sides of length 9 and a height of length 6.

P = 2 \left( \sqrt{9^2 - 6^2} + 9 \right) = 31.4

Triangle

Find the perimeter of a triangle with sides of length 7, 8, and 9.

P = 7 + 8 + 9 = 24

Conclusion

Calculating the perimeter of a triangle is an important skill in geometry. Our calculator and formula make it easy to find the perimeter of different types of triangles. Try it out for yourself and see how easy it can be!