Calculate Triangle ABC Perimeter: Given Side Lengths 10, 5.6, and 4

Q: What exactly is perimeter and why do we need it?

Perimeter is the total distance around the outside of a shape. Think of it as walking around the triangle - you'd travel 10 + 5.6 + 4 = 19.6 units total!

Q: Why is my answer a decimal when some sides are whole numbers?

That's normal! When you add mixed numbers (like 5.6), your sum will often be a decimal. 19.6 is the exact, correct answer.

Q: Should I convert 5.6 to a fraction first?

No need! You can add decimals and whole numbers directly: 10 + 5.6 + 4. Converting to fractions would make this problem unnecessarily complicated.

Q: How do I know I used all the sides?

Count them! A triangle has exactly 3 sides. Make sure you add exactly 3 numbers: AB = 10, BC = 5.6, and CA = 4.

Q: What if I get a different answer when I add in different order?

You should get the same answer regardless of order! Try: 5.6 + 4 + 10 = 19.6. If you get different results, double-check your arithmetic.

Triangle Perimeter with Mixed Numbers

Find the perimeter of the triangle ABC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine the perimeter of the triangle

00:03 The perimeter of the triangle equals the sum of its sides

00:07 Substitute in the relevant values according to the given data and solve for the perimeter

00:12 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Find the perimeter of the triangle ABC

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:
$AB = 10$
$BC = 5.6$
$CA = 4$
Step 2: Apply the perimeter formula
The formula for the perimeter $P$ of a triangle is: $P = AB + BC + CA$
Step 3: Perform the calculation
Plugging in the values, $P = 10 + 5.6 + 4 = 19.6$

Therefore, the perimeter of triangle ABC is $19.6$ .

Final Answer

19.6

Key Points to Remember

Essential concepts to master this topic

Formula: Perimeter equals sum of all three side lengths
Technique: Add directly: 10 + 5.6 + 4 = 19.6
Check: Count sides used - all three present: 10, 5.6, and 4 ✓

Common Mistakes

Avoid these frequent errors

Using area formula instead of perimeter formula
Don't calculate using base × height or other area formulas = completely wrong measurement! Perimeter measures distance around the outside, not space inside. Always add up all the side lengths to find how far you'd walk around the triangle.

Practice Quiz

Test your knowledge with interactive questions

Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.

Can these angles form a triangle?

FAQ

Everything you need to know about this question

What exactly is perimeter and why do we need it?

Perimeter is the total distance around the outside of a shape. Think of it as walking around the triangle - you'd travel 10 + 5.6 + 4 = 19.6 units total!

Do I need to worry about the triangle inequality rule here?

For finding perimeter, no! The triangle inequality helps determine if sides can form a triangle, but once you have a valid triangle drawn, just add the sides directly.

Why is my answer a decimal when some sides are whole numbers?

That's normal! When you add mixed numbers (like 5.6), your sum will often be a decimal. 19.6 is the exact, correct answer.

Should I convert 5.6 to a fraction first?

No need! You can add decimals and whole numbers directly: 10 + 5.6 + 4. Converting to fractions would make this problem unnecessarily complicated.

How do I know I used all the sides?

Count them! A triangle has exactly 3 sides. Make sure you add exactly 3 numbers: AB = 10, BC = 5.6, and CA = 4.

What if I get a different answer when I add in different order?

You should get the same answer regardless of order! Try: 5.6 + 4 + 10 = 19.6. If you get different results, double-check your arithmetic.

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