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If the lengths of two sides of a triangle are 8 cm and 15 cm, and the included a

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Question: If the lengths of two sides of a triangle are 8 cm and 15 cm, and the included angle is 60 degrees, what is the area?

Options:

  1. 60 cm²
  2. 80 cm²
  3. 90 cm²
  4. 100 cm²

Correct Answer: 60 cm²

Solution: 

Area = 1/2 * a * b * sin(C) = 1/2 * 8 * 15 * sin(60) = 60 cm².

If the lengths of two sides of a triangle are 8 cm and 15 cm, and the included a

Practice Questions

Q1
If the lengths of two sides of a triangle are 8 cm and 15 cm, and the included angle is 60 degrees, what is the area?
  1. 60 cm²
  2. 80 cm²
  3. 90 cm²
  4. 100 cm²

Questions & Step-by-Step Solutions

If the lengths of two sides of a triangle are 8 cm and 15 cm, and the included angle is 60 degrees, what is the area?
  • Area of a Triangle – The formula for the area of a triangle when two sides and the included angle are known is Area = 1/2 * a * b * sin(C).
  • Trigonometric Functions – Understanding how to use the sine function to calculate the area based on the angle provided.
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