Multiple choice

The base and hypotenuse of right triangular are respectively 5 cm and 13 cm long. Its area is:

  1. 25 cm2

  2. 28 cm2

  3. 30 cm2

  4. 40 cm2
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C Correct answer
Explanation

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

AI explanation

Using the Pythagorean theorem, the perpendicular height is the square root of (13 squared minus 5 squared), which equals the square root of 144 or 12 cm. The area of a right triangle is half the base times the height, so the area is 0.5 times 5 times 12. This gives an area of 30 square cm.

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