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In a triangle ABC right-angled at B, BD is drawn perpendicular to the hypotenuse AC.
Which triangles formed are similar to triangle ABC?

Class 10Similarity and CongruenceGeometry — Similarity
  • AOnly triangle ABD
  • BOnly triangle BDC
  • CBoth triangle ABD and triangle BDC
  • DNeither

Step-by-Step Solution

The altitude to the hypotenuse splits the right triangle into two smaller triangles, each similar to the original and to each other (AA).
Answer: C) Both triangle ABD and triangle BDC

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