ALPHA DIVISION

Question 30

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Question

A quadrilateral

ABCD

has an inscribed circle tangent to

\overline{DA}

\overline{AB}

\overline{BC}

, and

\overline{CD}

M

N

P

, and

Q

, respectively. Suppose

AM=AN=1,\quad BN=BP=3,\quad CP=CQ=2,\quad DQ=DM=3.

Compute the radius of the inscribed circle.

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Question

A quadrilateral

ABCD

has an inscribed circle tangent to

\overline{DA}

\overline{AB}

\overline{BC}

, and

\overline{CD}

M

N

P

, and

Q

, respectively. Suppose

AM=AN=1,\quad BN=BP=3,\quad CP=CQ=2,\quad DQ=DM=3.

Compute the radius of the inscribed circle.