In a triangle ABC, AD is a median, and E is a point on AC such that CE = 2AE. AD and BE intersect at F. If EF measures 6 units, find the length of BF in units.
In geometry class, we learn of shapes
And how to measure all their
gapes
Triangles, with angles three
And sides to calculate, oh gee!
A problem posed, with median and cevian
To find the segment's
length, we're cravin'
With a given ratio of one to two
Our minds
race with what to do
With ruler and compass, we draw
The
lines we need, without a flaw
Then use the theorems we've been taught
To find the length, as we ought
We calculate and solve the
equation
Our hearts race with anticipation
And finally, we reach
the solution
A feeling of pride, a grand conclusion
In
geometry, we find our way
Using logic and reason every day
And
though the problems may be tough
We persevere, and that's enough.
If you're interested in finding more poems with a focus on geometry, you may enjoy this collection: More geometry thematic poems.
Geometry Problems
Open Problems
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All Problems
Triangle
Median
Similarity, Ratios, Proportions
Midpoints
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