Multiple choice

The base and hypotenuse of a right triangle are respectively 6 cm and 10 cm long. Its area is :

  1. $60 cm^2$
  2. $120 cm^2$
  3. $30 cm^2$
  4. $24 cm^2$
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D Correct answer
Explanation

Using Pythagorean theorem, height = sqrt(10^2 - 6^2) = sqrt(64) = 8 cm. Area = 1/2 * base * height = 1/2 * 6 * 8 = 24 cm^2.

AI explanation

Using the Pythagorean theorem, the height of the triangle is sqrt(10^2 - 6^2) = sqrt(100 - 36) = sqrt(64) = 8 cm. The area of a triangle is found by the formula (1/2) * base * height. Multiplying the dimensions gives (1/2) * 6 * 8 = 24 cm^2.

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