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A right triangle has legs 6 cm and 8 cm. An altitude is drawn from the right angle to the hypotenuse, splitting it into two smaller triangles, each similar to the original.
The length of the altitude to the hypotenuse (in cm) is:

Class 10Criteria for SimilarityGeometry — Similarity
  • A5.8
  • B4.8
  • C3.8
  • D9.6

Step-by-Step Solution

Hypotenuse = . By similarity, altitude = (leg1 leg2)/hyp = cm.
Answer: B) 4.8

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