If the ratio of the sides of a triangle is 3:4:5, what is the perimeter if the s

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Question: If the ratio of the sides of a triangle is 3:4:5, what is the perimeter if the shortest side is 6 cm? (2021)

Options:

Correct Answer: 36 cm

Exam Year: 2021

Solution:

If the shortest side is 6 cm, the sides are 6, 8, and 10 cm. Perimeter = 6 + 8 + 10 = 24 cm.

If the ratio of the sides of a triangle is 3:4:5, what is the perimeter if the shortest side is 6 cm? (2021)

If the ratio of the sides of a triangle is 3:4:5, what is the perimeter if the shortest side is 6 cm? (2021)

Step 1: Identify the ratio of the sides of the triangle, which is 3:4:5.
Step 2: Understand that the shortest side corresponds to the '3' in the ratio.
Step 3: Since the shortest side is given as 6 cm, we can set up a relationship: 3 parts = 6 cm.
Step 4: To find the value of one part, divide 6 cm by 3: 6 cm / 3 = 2 cm per part.
Step 5: Now, calculate the lengths of the other sides using the ratio: 4 parts = 4 * 2 cm = 8 cm and 5 parts = 5 * 2 cm = 10 cm.
Step 6: The lengths of the sides are 6 cm, 8 cm, and 10 cm.
Step 7: To find the perimeter, add all the sides together: 6 cm + 8 cm + 10 cm = 24 cm.

Ratio and Proportion – Understanding how to apply ratios to find the lengths of sides in a triangle based on a given shortest side.
Perimeter Calculation – Calculating the perimeter of a triangle by summing the lengths of its sides.