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In triangle ABC, if the lengths of the sides are a = 5, b = 12, and c = 13, what
In triangle ABC, if the lengths of the sides are a = 5, b = 12, and c = 13, what is the perimeter of the triangle?
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Practice Questions
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Q1
In triangle ABC, if the lengths of the sides are a = 5, b = 12, and c = 13, what is the perimeter of the triangle?
30
25
20
18
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The perimeter of a triangle is the sum of its sides. Therefore, perimeter = a + b + c = 5 + 12 + 13 = 30.
Questions & Step-by-step Solutions
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Q
Q: In triangle ABC, if the lengths of the sides are a = 5, b = 12, and c = 13, what is the perimeter of the triangle?
Solution:
The perimeter of a triangle is the sum of its sides. Therefore, perimeter = a + b + c = 5 + 12 + 13 = 30.
Steps: 6
Show Steps
Step 1: Identify the lengths of the sides of the triangle. Here, a = 5, b = 12, and c = 13.
Step 2: Understand that the perimeter of a triangle is found by adding the lengths of all its sides together.
Step 3: Write the formula for the perimeter: perimeter = a + b + c.
Step 4: Substitute the values of a, b, and c into the formula: perimeter = 5 + 12 + 13.
Step 5: Perform the addition: 5 + 12 = 17, then 17 + 13 = 30.
Step 6: Conclude that the perimeter of triangle ABC is 30.
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