Calculate Triangle Perimeter: Finding the Sum of Sides 7, 11, and 13

Triangle Perimeter with Given Side Lengths

Given the triangle:

777111111131313

What is its perimeter?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the triangle's perimeter
00:04 The triangle's perimeter equals the sum of its sides
00:09 Substitute in the relevant values and proceed to solve
00:19 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the triangle:

777111111131313

What is its perimeter?

2

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

3

Final Answer

31

Key Points to Remember

Essential concepts to master this topic
  • Definition: Perimeter equals the sum of all three sides
  • Technique: Add each side: 7 + 11 + 13 = 31
  • Check: Count all three sides are included in calculation ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to add one of the sides
    Don't add just two sides like 7 + 11 = 18 and call it the perimeter! This misses the third side entirely and gives a wrong, smaller result. Always add all three sides together: 7 + 11 + 13 = 31.

Practice Quiz

Test your knowledge with interactive questions

Find the perimeter of the triangle ABC

777141414888AAABBBCCC

FAQ

Everything you need to know about this question

What exactly is a perimeter?

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A perimeter is the total distance around the outside of a shape. Think of it like walking around the entire triangle - you'd travel along all three sides!

Do I need to know what type of triangle this is?

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No! The perimeter formula works for any triangle - scalene, isosceles, equilateral, right triangles, or any other type. Just add all three sides.

Why is the answer 31 and not something else?

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Because 7+11+13=31 7 + 11 + 13 = 31 . The perimeter is always the sum of all sides, no matter how the triangle looks or what angles it has.

What if the sides were in different units?

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You'd need to convert to the same units first before adding. For example, if one side was in centimeters and another in meters, convert everything to the same unit.

How can I double-check my addition?

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Try adding in a different order: 11+13+7=24+7=31 11 + 13 + 7 = 24 + 7 = 31 . You can also use the commutative property - the order doesn't matter!

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