Hence, the formula remains the same as the standard one, i.e., Since all sides are different, we cannot modify the formula for the perimeter of the triangle as we did for the equilateral and the isosceles triangles. For example, the figure of a scalene triangle below shows that none of its sides are equal.Ī scalene triangle is one that has three different sides. This means no side will be equal to any other side. Perimeter of an isosceles triangle $= 2a + b$Ī triangle is called a scalene triangle if the length of all three sides is different from each other. We are given the value of two sides of the triangle that are equal hence, it is an isosceles triangle. If the perimeter of a triangle is 40 cm and the length of two of its sides is 8cm each, what will be the length of the third side of the triangle? Solution: Perimeter of isosceles triangle $= 2a + c$ Example 2: Perimeter of isosceles triangle $= a + a + c$ So if the sides are $a$, $b$ and $c$ and $a = b$, then we will write the perimeter of the triangle as The figure of an isosceles triangle is shown below.Īn isosceles triangle is a triangle with two equal sides. Perimeter of equilateral triangle $= 18cm$ – Isosceles TriangleĪ triangle is called an isosceles triangle if the lengths and angles of two sides are equal to each other while the third side differs from the rest. Perimeter of equilateral triangle $= 3\times 6$ Perimeter of equilateral triangle $= 3\times a$ Hence the perimeter of the triangle will be calculated as follows: We are given the value of one side of the equilateral triangle, but as we know, all three sides of the equilateral triangle are equal. If the value of one side of an equilateral triangle is 6cm, what will be the perimeter of the triangle? Solution: Perimeter of equilateral triangle $= 3a = 3b = 3c$ Example 1: Perimeter of equilateral triangle $= a + b + c$ So if the sides are $a$, $b$ and $c$, then we will write the perimeter of the triangle as The figure of an equilateral triangle is given below.Īn equilateral triangle is a triangle with three equal sides. For an equilateral triangle, the measure of each interior angle will be 60 degrees. There are three different types of triangles depending on the relation between its sides.Ī triangle is considered to be an equilateral triangle if the lengths of all three sides are equal. Let us discuss the types of triangles and how to derive their formulas. The formula for the perimeter of a triangle will depend on the type of triangle. Perimeter $= 7 + 8+ 9 = 24$ cm Perimeter of a Triangle Formula Hence the perimeter of this triangle will be given as: Here, the sides of the triangle are given as $7$, $8$, and $9$ cm, respectively. To calculate the perimeter of a triangle, add all three sides of the triangle, as we discussed earlier.Ĭonsider the picture of a triangle given below: Draw an isosceles triangle with two legs of length one, and split the triangle symmetrically so you think of your triangle as two back-to-back right triangles.Read more How to Find the Volume of the Composite Solid? We need to optimize the area of the triangle to optimize the radius that can fit inside it.
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