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XAT 2024 — QA & DI Question 14

Geometric CentersEasy

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.

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Answer & solution

  • A

    3 cm

  • 4 cm

  • C

    3.5 cm

  • D

    4.5 cm

  • E

    None of the remaining options is correct.

XAT 2024 QA & DI Q14: Consider a right-angled triangle ABC, right angled at B. Two circles, each of radius r, are drawn inside the t — Solution | TheCATExam