If a triangle has two sides of lengths 7 and 24, what is the maximum possible le

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Question: If a triangle has two sides of lengths 7 and 24, what is the maximum possible length of the third side?

Options:

Correct Answer: 30

Solution:

The maximum length of the third side is less than the sum of the other two sides, which is 7 + 24 = 31.

If a triangle has two sides of lengths 7 and 24, what is the maximum possible length of the third side?

If a triangle has two sides of lengths 7 and 24, what is the maximum possible length of the third side?

Step 1: Identify the lengths of the two sides of the triangle. Here, they are 7 and 24.
Step 2: To find the maximum possible length of the third side, we need to remember a rule about triangles: the length of any side must be less than the sum of the other two sides.
Step 3: Calculate the sum of the two known sides: 7 + 24 = 31.
Step 4: The maximum length of the third side must be less than this sum. Therefore, the maximum length of the third side is 31 - 1 = 30.

Triangle Inequality Theorem – The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.