Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleMiscellaneous/Mixed (Include Hight & Distance)Medium3 minQB

MathematicsMediumsingle choice

A circle is inscribed in a right trapezium whose parallel sides have lengths $a$ and $b$ . Find its radius.

Answer:

Solution:

Tangency lengths give $(a - R) (b - R) = R^{2}$ . Thus $ab = (a + b) R$ , so $R = ab / (a + b)$ .

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Miscellaneous/Mixed (Include Hight & Distance)

⏱ 3mℹ️ Source: QB

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