Question:

Consider a right-angled triangle ABC, right angled at B. Two circles, each of radius r, are drawn inside the triangle in such a way that one of them touches AB and BC, while the other one touches AC and BC. The two circles also touch each other (see the image below).
If AB = 18 cm and BC = 24 cm, then find the value of r.
If AB = 18 cm and BC = 24 cm, then find the value of r.

Updated On: Aug 9, 2024
  • 3 cm
  • 4 cm
  • 3.5 cm
  • 4.5 cm
  • None of the remaining options is correct.
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The Correct Option is B

Solution and Explanation

The Correct Option is (B): 4 cm
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