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A right triangle has legs of lengths 6 cm and 8 cm. What is the area of the tria

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Question: A right triangle has legs of lengths 6 cm and 8 cm. What is the area of the triangle?

Options:

  1. 24 cm²
  2. 30 cm²
  3. 48 cm²
  4. 36 cm²

Correct Answer: 24 cm²

Solution:

Area = 1/2 * base * height = 1/2 * 6 * 8 = 24 cm².

A right triangle has legs of lengths 6 cm and 8 cm. What is the area of the tria

Practice Questions

Q1
A right triangle has legs of lengths 6 cm and 8 cm. What is the area of the triangle?
  1. 24 cm²
  2. 30 cm²
  3. 48 cm²
  4. 36 cm²

Questions & Step-by-Step Solutions

A right triangle has legs of lengths 6 cm and 8 cm. What is the area of the triangle?
  • Step 1: Identify the lengths of the legs of the right triangle. The lengths are 6 cm and 8 cm.
  • Step 2: Understand that in a right triangle, the legs can be considered as the base and the height.
  • Step 3: Use the formula for the area of a triangle, which is Area = 1/2 * base * height.
  • Step 4: Substitute the lengths of the legs into the formula. Here, base = 6 cm and height = 8 cm.
  • Step 5: Calculate the area: Area = 1/2 * 6 * 8.
  • Step 6: First, multiply 6 by 8 to get 48.
  • Step 7: Then, divide 48 by 2 to get 24.
  • Step 8: Therefore, the area of the triangle is 24 cm².
  • Area of a Triangle – The area of a triangle can be calculated using the formula Area = 1/2 * base * height, where the base and height are the lengths of the legs in a right triangle.
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