Monthly Archives: December 2022

AIME 2017 I – Problem 15

Posted on December 31, 2022 by kevin

The area of the smallest equilateral triangle with one vertex on each of the sides of the right triangle with side lengths $2\sqrt{3}$, $5$, and $\sqrt{37}$ as shown, is $\dfrac{m\sqrt{p}}{n}$, where $m$, $n$, and $p$ are positive integers, and $m$, $n$, … Continue reading →

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When did the snow start to fall?

Posted on December 23, 2022 by kevin

One day sometime before 12 noon, the snow started to fall. A snow plower started to remove snow from the streets at 12 o’clock. In the first hour, it advanced 6 miles; in the second hour, it advanced 3 miles. … Continue reading →

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MathCounts Geometry Exercise – 4

Posted on December 2, 2022 by kevin

________ In parallogram $ABCD$, $EF\parallel AC$. The area of $\triangle{AED}=72\ cm^2$. Find the area the shaded region in $cm^2$. ________ In parallelogram $ABCD$, $CE$ intersects with $DA$ at $F$. The area of $\triangle{BEF}$ is $4\ cm^2$. Find the area the … Continue reading →

Posted in Geometry, Math Classes, MATHCOUNTS | Comments Off on MathCounts Geometry Exercise – 4