Triangle With Squares!

Geometry Level 3

Given a triangle $ABC$ , construct two squares $ABPQ$ and $ACRS$ . Suppose that $M$ is the midpoint of $PR$ . Join $MB$ and $MC$ . Find $\angle BMC$ .

Details and Assumptions:

$P$ and $C$ are on opposite side of $AB$ .
$R$ and $B$ are on opposite side of $AC$ .

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Triangle With Squares!

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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 8 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.