Examples with solutions for Perimeter of a Triangle: Applying the formula

Exercise #1

Look at the triangle below:

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What is the perimeter of the triangle?

Video Solution

Step-by-Step Solution

The perimeter of the triangle is equal to the sum of all sides together, therefore:

6+8+10=14+10=24 6+8+10=14+10=24

Answer

24

Exercise #2

Given the triangle:

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What is its perimeter?

Video Solution

Step-by-Step Solution

The perimeter of a triangle is equal to the sum of all its sides together:

11+7+13=11+20=31 11+7+13=11+20=31

Answer

31

Exercise #3

Find the perimeter of the triangle ABC

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Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the perimeter formula for a triangle.
  • Step 3: Perform the addition to find the perimeter.

Now, let's work through each step:

Step 1: We have the lengths of the sides of ABC \triangle ABC as follows:
AB=7 AB = 7 , BC=14 BC = 14 , and CA=8 CA = 8 .

Step 2: We'll use the formula for the perimeter of a triangle, which is the sum of its side lengths:
P=AB+BC+CA P = AB + BC + CA .

Step 3: Plugging in the values, we calculate:
P=7+14+8=29 P = 7 + 14 + 8 = 29 .

Therefore, the perimeter of ABC \triangle ABC is 29\textbf{29}.

Answer

29

Exercise #4

Find the perimeter of the triangle ABC

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Video Solution

Step-by-Step Solution

To find the perimeter of triangle ABC \triangle ABC , we need to sum the lengths of its sides:

  • Side AB=3 AB = 3
  • Side BC=4 BC = 4
  • Side CA=5 CA = 5

Using the formula for the perimeter of a triangle:

Perimeter=AB+BC+CA \text{Perimeter} = AB + BC + CA

Substitute the known values:

Perimeter=3+4+5 \text{Perimeter} = 3 + 4 + 5

Perimeter=12 \text{Perimeter} = 12

Thus, the perimeter of triangle ABC \triangle ABC is 12\mathbf{12}.

From the multiple-choice options provided, the correct choice is option 1: 12.

Answer

12

Exercise #5

Given an equilateral triangle:

555

What is its perimeter?

Video Solution

Step-by-Step Solution

Since the triangle is equilateral, that is, all sides are equal to each other.

The perimeter of the triangle is equal to the sum of all sides together, the perimeter of the triangle in the drawing is equal to:

5+5+5=15 5+5+5=15

Answer

15

Exercise #6

Look at the isosceles triangle below:

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What is its perimeter?

Video Solution

Step-by-Step Solution

Since we are referring to an isosceles triangle, the two legs are equal to each other.

In the drawing, they give us the base which is equal to 4 and one side is equal to 6, therefore the other side is also equal to 6.

The perimeter of the triangle is equal to the sum of the sides and therefore:

6+6+4=12+4=16 6+6+4=12+4=16

Answer

16

Exercise #7

777121212

What is the perimeter of the given isosceles triangle?

Video Solution

Step-by-Step Solution

Due to the fact that the the triangle is isosceles, its two legs are equal to one another.

Therefore, the base is 7 and the other two sides are 12.

The perimeter of a triangle is equal to the sum of all the sides together:

12+12+7=24+7=31 12+12+7=24+7=31

Answer

31

Exercise #8

Find the perimeter of the triangle ABC

1010105.65.65.6444AAABBBCCC

Video Solution

Step-by-Step Solution

The problem requires us to calculate the perimeter of triangle ABC with given side lengths. To solve this:

  • Step 1: Identify the given side lengths
    According to the given information:
    AB=10 AB = 10
    BC=5.6 BC = 5.6
    CA=4 CA = 4
  • Step 2: Apply the perimeter formula
    The formula for the perimeter P P of a triangle is: P=AB+BC+CA P = AB + BC + CA
  • Step 3: Perform the calculation
    Plugging in the values, P=10+5.6+4=19.6 P = 10 + 5.6 + 4 = 19.6

Therefore, the perimeter of triangle ABC is 19.6 19.6 .

Answer

19.6