In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible len

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Question: In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible length of the third side? (2019)

Options:

Correct Answer: 17 cm

Exam Year: 2019

Solution:

The maximum length of the third side = sum of the other two sides - 1 = 7 + 10 - 1 = 16 cm.

In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible length of the third side? (2019)

In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible length of the third side? (2019)

Step 1: Identify the lengths of the two sides of the triangle. Here, they are 7 cm and 10 cm.
Step 2: Understand that in a triangle, the length of any one side must be less than the sum of the other two sides.
Step 3: Calculate the sum of the two sides: 7 cm + 10 cm = 17 cm.
Step 4: To find the maximum possible length of the third side, subtract 1 from the sum: 17 cm - 1 cm = 16 cm.
Step 5: Therefore, the maximum possible length of the third side is 16 cm.

Triangle Inequality Theorem – In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Maximum Length of a Side – The maximum length of the third side can be determined by the sum of the other two sides minus a small value (1) to ensure it forms a triangle.