Mathematics - Circle Question with Solution | TestHub
MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB
MathematicsMediumsingle choice
In a right triangle with legs 15 and 20, the altitude from the right angle meets the hypotenuse. Circles are inscribed in the two smaller triangles. Find the distance between their centres.
Options:
Answer:
B
Solution:
The hypotenuse is 25 and the altitude segments give smaller right triangles with legs (9, 12, 15) and (12, 16, 20). Their inradii are 3 and 4, so the centre distance is 7.
Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle
⏱ 2mℹ️ Source: QB
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