Multiple choice

If the base and hypotenuse of a right angle triangle are 12 cm and 13 cm respectively, find its area.

  1. 16 cm²

  2. 27 cm²

  3. 28 cm²

  4. 30 cm²

  5. 35 cm²
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D Correct answer
Explanation

In a right triangle, a^2 + b^2 = c^2. Given base=12, hypotenuse=13, height^2 = 13^2 - 12^2 = 169 - 144 = 25. Height = 5. Area = 1/2 * base * height = 1/2 * 12 * 5 = 30.

AI explanation

Using the Pythagorean theorem, the height is the square root of 13 squared minus 12 squared, which is the square root of 169 minus 144, giving 5 cm. The area of a triangle is one half times the base times the height, so we calculate one half times 12 cm times 5 cm to get 30 cm squared. The area is 30 cm squared.

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