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In triangle DEF, if DE = 6 cm, DF = 8 cm, and EF = 10 cm, what is the area of th

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Question: In triangle DEF, if DE = 6 cm, DF = 8 cm, and EF = 10 cm, what is the area of the triangle?

Options:

  1. 24 cm²
  2. 30 cm²
  3. 48 cm²
  4. 60 cm²

Correct Answer: 30 cm²

Solution: 

Using Heron\'s formula, s = (6 + 8 + 10) / 2 = 12. Area = √[s(s-a)(s-b)(s-c)] = √[12(12-6)(12-8)(12-10)] = √[12*6*4*2] = √576 = 24 cm².

In triangle DEF, if DE = 6 cm, DF = 8 cm, and EF = 10 cm, what is the area of th

Practice Questions

Q1
In triangle DEF, if DE = 6 cm, DF = 8 cm, and EF = 10 cm, what is the area of the triangle?
  1. 24 cm²
  2. 30 cm²
  3. 48 cm²
  4. 60 cm²

Questions & Step-by-Step Solutions

In triangle DEF, if DE = 6 cm, DF = 8 cm, and EF = 10 cm, what is the area of the triangle?
  • Heron's Formula – A method to calculate the area of a triangle when the lengths of all three sides are known.
  • Triangle Properties – Understanding the properties of triangles, including the relationship between side lengths and area.
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