MathDB

Length-Bash geometry

Source: LIMIT 2020 Cat 2 Obj P7

May 25, 2020

limitgeometry

Problem Statement

A circle

\mathfrak{D}

is drawn through the vertices

A

and

B

of

\triangle ABC

. If

\mathfrak{D}

intersects

AC

at a point

M

and

BC

at

P

and

MP

contains the incenter of

\triangle ABC

, then the length

MP

is (in standard notation, where

t=\frac{1}{a+b+c}

):
(A)

at(b+c)

(B)

ct(b+a)

(C)

bct

(D)

abt

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