MathDB

Angle Bisector Intersection and Area

Source:

August 8, 2024

geometryangle bisector2022

Problem Statement

Triangle

WSE

has side lengths

WS=13

,

SE=15

, and

WE=14

. Points

J

and

H

lie on

\overline{SE}

such that

SJ=JH=HE=5

. Let the angle bisector of

\angle{WES}

intersect

\overline{WH}

and

\overline{WJ}

at points

M

and

T

, respectively. Find the area of quadrilateral

JHMT

.

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