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MATH / In triangle ABC, let angle bisectors BD and CE intersect at I. The line through I parallel to BC intersects AB and AC at M and N, respectively. If AB=17, AC=24, and BC=33, then fin…

Problem

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problem

In triangle ABCABC, let angle bisectors BDBD and CECE intersect at II. The line through II parallel to BCBC intersects ABAB and ACAC at MM and NN, respectively. If AB=17AB = 17, AC=24AC = 24, and BC=33BC = 33, then find the perimeter of triangle AMNAMN.
Plain-text mathematical notation (without MathML)
In triangle ABC, let angle bisectors BD and CE intersect at I.  The line through I parallel to BC intersects AB and AC at M and N, respectively.  If AB=17, AC=24, and BC=33, then find the perimeter of triangle AMN.
Original LaTeX notation
In triangle $ABC$, let angle bisectors $BD$ and $CE$ intersect at $I$.  The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively.  If $AB = 17$, $AC = 24$, and $BC = 33$, then find the perimeter of triangle $AMN$.

level

Level 5

type

Geometry

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Source and history

task_id
dc472536-ab1c-5075-9007-7771405b162a
task_key
geometry--test--dc472536-ab1c-5075-9007-7771405b162a
task_revision_id
1
config / split
geometry / test

Official source

initial import