7- what is perimeter of triangle? (3mark
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Perimeter of a Triangle
- A perimeter of a shape is the length of its boundary or the total length around the shape. The perimeter of a 2D closed shape = sum of all its side.
⚘ Perimeter of a triangle
- The perimeter of a triangle is the sum of all its three sides. We can work out the perimeter using the following formula:
- Perimeter of a triangle = sum of all three sides
Example 1: Find the perimeter of the given triangle.
Here, sides of the triangle are AB = 3 cm, BC = 4 cm and AC = 3 cm
- Perimeter of triangle = sum of all three sides.
Therefore, the perimeter of the given triangle = 3 cm + 4 cm + 3 cm = 10 cm
✿ Perimeter of an isosceles triangle:
Perimeter of an isosceles triangle = a + b + c
- Here sides AB and AC are equal length so we can write the above formula as given below.
Perimeter of an isosceles triangle = a + a + c or b + b + c
- This can also be written as 2a + c or 2b + c or 2✕ equal side + c.
✿ Perimeter of an equilateral triangle:
Perimeter of an equilateral triangle = a + b + c
- As we know sides of an equilateral are equal in length.
So, the perimeter of an equilateral triangle = a + a + a= 3a
This formula can also be written as:
- Perimeter of an equilateral triangle= 3 ✕ side.
★ Fun Fact:
- The word perimeter is made up of two Greek words – “peri” which means around and “metron” which means measure.
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