Multiple choice

The lenghts of the sides of a triangle are 9 cm 12 cm and 15 cm then the length of the median to the longest side is

  1. 7.2 cm

  2. 7.3 cm

  3. 7.4 cm

  4. 7.5 cm
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D Correct answer
Explanation

The sides 9, 12, 15 form a right-angled triangle (9^2 + 12^2 = 81 + 144 = 225 = 15^2). In a right triangle, the median to the hypotenuse is half the length of the hypotenuse. 15 / 2 = 7.5.

AI explanation

The given lengths 9, 12 and 15 form a right triangle because 9^2 + 12^2 = 15^2. In a right triangle, the median to the hypotenuse equals half the hypotenuse. Therefore, the median is 15 / 2 = 7.5 cm.

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