In triangle ABC, if the lengths of sides a, b, and c are 5, 12, and 13 respectiv

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Question: In triangle ABC, if the lengths of sides a, b, and c are 5, 12, and 13 respectively, what is the perimeter of the triangle?

Options:

Correct Answer: 25

Solution:

Perimeter = a + b + c = 5 + 12 + 13 = 30.

In triangle ABC, if the lengths of sides a, b, and c are 5, 12, and 13 respectively, what is the perimeter of the triangle?

In triangle ABC, if the lengths of sides a, b, and c are 5, 12, and 13 respectively, what is the perimeter of the triangle?

Correct Answer: 30

Step 1: Identify the lengths of the sides of triangle ABC. Here, side a is 5, side b is 12, and side c is 13.
Step 2: Write down the formula for the perimeter of a triangle, which is the sum of the lengths of all its sides: Perimeter = a + b + c.
Step 3: Substitute the values of a, b, and c into the formula: Perimeter = 5 + 12 + 13.
Step 4: Perform the addition: First, add 5 and 12 to get 17. Then, add 17 and 13 to get 30.
Step 5: Conclude that the perimeter of triangle ABC is 30.

Triangle Perimeter Calculation – The perimeter of a triangle is calculated by summing the lengths of all its sides.
Triangle Properties – Understanding the properties of triangles, including the Pythagorean theorem, can help confirm the validity of the triangle formed by the given side lengths.