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.
Answer
7.5 cm
The correct answer is 7.5 cm — Compute half of the hypotenuse: .
Step-by-step solution
- Recognise that the given triangle is a right triangle because 9²+12²=15².
- Recall the property that in a right triangle the median to the hypotenuse equals half the hypotenuse.
- 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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