tmua.me Medium Set F Paper 2 · Question 7

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tmua.me Medium Set F Paper 2 · Q7

Paper 2Geometry

Triangle $ABC$ is right-angled at $A$ , with $AB=8$ and $AC=6$ .

A semicircle with centre $O$ lies inside the triangle. Its diameter lies on $BC$ , and its arc is tangent to both $AB$ and $AC$ , as shown.

What is the radius of the semicircle?

2

\dfrac{12}{5}

\dfrac{24}{7}

\dfrac{24}{5}

\dfrac{48}{7}

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