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Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.
  • a)
    14 cm
  • b)
    18 cm
  • c)
    20 cm
  • d)
    15 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 ...
Given that, a = 6 cm, b = 4 cm and c = 5 cm
Required perimeter = a + b + c
= 6 + 4 + 5 cm
= 15 cm
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Most Upvoted Answer
Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 ...
Understanding the Problem
To find the perimeter of a triangle, we need to sum up the lengths of all three sides. In this case, the sides of the triangle are given as 6 cm, 4 cm, and 5 cm.
Calculating the Perimeter
The perimeter \( P \) of a triangle can be calculated using the formula:
\[ P = a + b + c \]
Where \( a \), \( b \), and \( c \) are the lengths of the sides.
Applying the Formula
Let's substitute the values into the formula:
- \( a = 6 \, \text{cm} \)
- \( b = 4 \, \text{cm} \)
- \( c = 5 \, \text{cm} \)
Now, calculate the perimeter:
\[ P = 6 \, \text{cm} + 4 \, \text{cm} + 5 \, \text{cm} \]
Step-by-Step Calculation
- First, add 6 cm and 4 cm:
- \( 6 + 4 = 10 \, \text{cm} \)
- Now, add the result to 5 cm:
- \( 10 + 5 = 15 \, \text{cm} \)
Final Result
Thus, the perimeter of the triangle is:
\[ P = 15 \, \text{cm} \]
Therefore, the correct answer is option 'D'.
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