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If the lengths of the sides of a triangle are 7 cm, 24 cm, and 25 cm, what is it

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Question: If the lengths of the sides of a triangle are 7 cm, 24 cm, and 25 cm, what is its area?

Options:

  1. 84 cm²
  2. 168 cm²
  3. 42 cm²
  4. 56 cm²

Correct Answer: 84 cm²

Solution: 

Using Heron\'s formula, s = (7 + 24 + 25)/2 = 28. Area = √(s(s-a)(s-b)(s-c)) = √(28(28-7)(28-24)(28-25)) = √(28*21*4*3) = 84 cm².

If the lengths of the sides of a triangle are 7 cm, 24 cm, and 25 cm, what is it

Practice Questions

Q1
If the lengths of the sides of a triangle are 7 cm, 24 cm, and 25 cm, what is its area?
  1. 84 cm²
  2. 168 cm²
  3. 42 cm²
  4. 56 cm²

Questions & Step-by-Step Solutions

If the lengths of the sides of a triangle are 7 cm, 24 cm, and 25 cm, what is its area?
  • Heron's Formula – A method for calculating the area of a triangle when the lengths of all three sides are known.
  • Triangle Inequality Theorem – A principle stating that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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