The perimeter of a triangle
Answers
Answer:
perimeter of the triangle=3×side OR 3a
Step-by-step explanation:
Perimeter of Triangle: The perimeter of any two-dimensional figure is defined as the distance around the figure. We can calculate the perimeter of any closed shape just adding up the length of each of the sides. In this article, you will first learn about what is the perimeter, how to find the perimeter of different types of triangles when all side lengths are known. Furthermore, the solved examples will help you to get more views on the topic.
What is the Perimeter of a Triangle?
The sum of the lengths of the sides is the perimeter of any polygon. In the case of a triangle,
Perimeter = Sum of the three sides
Always include units in the final answer. If the sides of the triangle are measured in centimetres, then the final answer should also be in centimetres.
Perimeter of Triangle Formula
The formula for the perimeter of a closed shape figure is usually equal to the length of the outer line of the figure. Therefore, in the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then,
Perimeter, P = a + b +c
Perimeter of an Isosceles, Equilateral and Scalene Triangle
Below table helps us to understand how to find the perimeter of different triangles- Equilateral triangle, Isosceles triangle and Scalene triangle.
fig of table is given above
Where a, b, c and l are the side lengths and P = Perimeter.
Where a, b, c and l are the side lengths and P = Perimeter.This formula implies to find the perimeter of a triangle, add the lengths of all of its 3 sides together. If A, B and C are the side measures, and X is perimeter then
fig see above↑
perimeter of rightTriangle
TriangleA right triangle has a base(b), hypotenuse(h) and as its sides, By the Pythagoras theorperpendicular(p)em, we know,
em, we know,h2 = b2 + p2
em, we know,h2 = b2 + p2Therefore, the Perimeter of a right angle triangle= b + p + h
Example
Let us consider some of the examples on the perimeter of a triangle:
Example 1: Find the perimeter of a polygon whose sides are 5 cm, 4 cm and 2 cm.
Solution: Let,
a = 5 cm
b = 4 cm
c = 2 cm
Perimeter = Sum of all sides = a + b + c = 5 + 4 + 2 = 11
Therefore, the answer is 11 cm.
Hope this helps you out
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