Lesson eLearning

In the right‑angled triangle ABC, the sides are 9 cm, 12 cm and 15 cm. Find the length of the median drawn from the right angle to the hypotenuse.

medium 2 marks Class 10 · Mathematics · Triangles
Answer
7.5 cm

The correct answer is 7.5 cm — Compute half of the hypotenuse: .

Step-by-step solution

  1. Recognise that the given triangle is a right triangle because 9²+12²=15².
  2. Recall the property that in a right triangle the median to the hypotenuse equals half the hypotenuse.
  3. Compute half of the hypotenuse: .
Common mistake: Applying a general median formula instead of the special right‑triangle property.

Concept tested: Median to hypotenuse in right triangle

Published · How this solution was prepared and checked

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