MathDB

Reflecting Points

Source:

April 26, 2022

Problem Statement

Let

ABC

be a triangle with side lengths

AB=6, AC=7,

and

BC=8.

Let

H

be the orthocenter of

\triangle ABC

and

H'

be the reflection of

H

across the midpoint

M

of

BC.

\tfrac{[ABH']}{[ACH']}

can be expressed as

\frac{p}{q}

. Find

p+q

.
2022 CCA Math Bonanza Individual Round #14

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