Perimeter of Triangle Formula Class 7
Triangles have a distinctive place in the realm of geometric figures because triangles are the simplest polygons with three sides and three angles. The basic formulas related to triangles are, perimeter of triangle formula for class 7 and area of triangle. In this article, we will be discussing the perimeter of triangle formula class 7 which will include the perimeter of an isosceles triangle and the perimeter of an equilateral triangle.
List of Class 7 Perimeter of Triangle Formula
The following points discuss the basic concepts that can be helpful in using the formula related to the perimeter of triangles.
- A triangle is a polygon with three sides.
- The perimeter of a triangle refers to the total length of its boundary, and is obtained by adding the length of all its sides.
- The area of a triangle refers to the portion of the plane or the region that the closed figure occupies.
- A triangle in which all the sides are equal is termed as an Equilateral triangle.
- Perimeter of Equilateral Triangle = 3 × (Side of Triangle)
- A triangle in which two sides are equal is termed an Isosceles triangle.
- Perimeter of Isosceles Triangle = 2 × (equal Side) + Unequal side
- A triangle in which all the sides are of different lengths is termed a Scalene triangle.
- Perimeter of Scalene Triangle = a + b + c, where a, b, c are the three sides of the scalene triangle.
- Pythagoras Theorem: In a right-angled triangle, the side that is opposite to the right angle is known as the hypotenuse, and the other two sides are known as the legs of the right-angled triangle.
- Hypotenuse2 = Base2 + Height2
Applications of Perimeter of Triangle Formula Class 7
Since triangular shapes are commonly used in everyday life, the area and perimeter of a triangle are among the most frequently calculated quantities.
- The ease with which the perimeter of triangles can be determined, especially for equilateral triangles, makes it a useful form to be used easily in constructions or structural designs.
- The calculation of the perimeter of triangle formula class 7 has a wide range of applications in engineering (civil or hydraulic), architecture, transit planning, manufacturing, and other fields where spatial awareness is necessary.
Tips to Memorize Perimeter of Triangle Formula for Class 7
The following tips can be useful for students to memorize the formulas related to the perimeter of a triangle.
- Students must ensure to practice all the solved examples given in the textbook, as they cover all the different uses of a single formula. The solved examples not only help in understanding the use of formulas in a particular context but also help in knowing as to how to approach and solve the problem using proper statements and logic. Once they are done with all the solved examples then they must practice the exercise questions. A regular practice of different kinds of problems will ensure a regular revision of formulas in itself.
- Students can try to weave a story with the initials of the formula letters. This trick can help them remember formulas during the exams in case they get confused.
- Students can install the formula wallpapers on their digital devices, so that whenever they view their device they get a quick revision of perimeter of triangle formula class 7.
Perimeter of Triangle Formula for Class 7 Examples
Example 1: Find the perimeter of an equilateral triangle whose sides measure 4 cm each.
Solution: Perimeter of Equilateral Triangle = 3 × side
= 3 × 4
= 12 cm
Example 2: If triangle ABC is a right-angled triangle with hypotenuse being 5 cm, and base equal to 4 cm. What is the height and perimeter of the triangle ?
Solution: Using Pythagoras theorem, Hypotenuse2 = Base2 + Height2
Substituting the values we get, 52 = 42 + Height2
Height2 = 25 - 16 = 9
Height = √9 = 3 cm
Perimeter of the Triangle = Sum of all the sides
= 5 + 4 + 3 = 12 cm.
Students can download the printable Maths Formulas Class 7 sheet from below:
FAQs on Perimeter of Triangle Formula Class 7
What are the Important Perimeter of Triangle Formula Class 7?
The important perimeter of triangle formulas for class 7 are given below.
- Perimeter of Equilateral Triangle = 3 (Side of Triangle )
- Perimeter of Isosceles Triangle = 2 × (equal Side) + unequal side
- Perimeter of Scalene Triangle = a + b + c, where a, b, c are the three sides of scalene triangle.
- Pythagoras Theorem: In a right-angled triangle, the side that is opposite to the right angle is known as the hypotenuse, and the other two sides are known as the legs of the right-angled triangle.
- Hypotenuse2 = Base2 + Height2
What are the Important Formulas Covered in the Perimeter of Triangle Formula Class 7?
There are two important formulas that are used to find the perimeter of a triangle. The basic one is the perimeter formula to find the total boundary length of any triangle in which all the side lengths are simply added. Perimeter of triangle = Sum of all sides. Another formula that is used here involves the Pythagoras theorem which states that the square of the hypotenuse is equal to the sum of the individual squares of the base and height of the right-angled triangle. This formula is helpful in finding the perimeter of the right-angled triangle in case the third side is unknown.
How Many Formulas are there in Perimeter of Triangle Formula Class 7?
Overall there are around 4 important formulas in the perimeter of triangle formula for class 7. The students must try their best to practice all the different kinds of solved examples as well as practice questions for each kind of triangle like equilateral, right-angled, scalene and isosceles. This will ease out the process of remembering the formulas.
How can I Memorize the Perimeter of Triangle Formula Class 7?
The students must use the following tips to ensure smooth learning and revision of the perimeter of triangle formula class 7:
- A consistent practice can take students a long way in math. Hence, to start with, the students must make sure to go through the text of the chapter completely to understand the basics. Then they can proceed towards the solved examples. Reading them once will give an idea of how the formula has been used and the context in which they have been applied. Students must pay attention to the statements used in problem-solving and attempt to solve the examples on their own. Once done with solved examples it is a good idea to proceed to the exercise questions. Solving questions will give enough practice on writing and using the formula thus understanding and remembering them well.
- Students can try to create a story with the initials of the formula letters.
- Students can also make use of the technology available at their hands like their digital devices. The formula wallpapers can be downloaded and set as screensaver on computers and mobiles. This will ensure a quick revision of the perimeter of triangle formula class 7 whenever they look at their gadgets.