Multiple choice

The base of a right angled triangle is 5 metres and hypotenuse is 13 metres. Its area will be

  1. 25 $m^2$
  2. 28 $m^2$
  3. 30 $m^2$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the Pythagorean theorem, the height of the triangle is sqrt(13^2 - 5^2) = sqrt(169 - 25) = sqrt(144) = 12 meters. The area is (1/2) * base * height = (1/2) * 5 * 12 = 30 square meters.

AI explanation

Using the Pythagorean theorem, the height h is calculated as sqrt(13^2 - 5^2) = sqrt(144) = 12 metres. The area of a right angled triangle is half the product of its base and height. Therefore, the area is 0.5 times 5 times 12 = 30 m^2.

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