Consider a circle with center O. A chord AB intersects the diameter CE at point D, such that CD = 1, DO = 2, and angle BDE measures 30 degrees. Find the length of AD.

Chasing the Chord: A Pythagorean Tale of Discovery Within a Circle

Within a circle's curved embrace,

A chord cuts
through with angled grace,

Where diameter and chord
do meet,

A Pythagorean tale to complete.

A challenge set to find the length,

Of this chord,
with geometry's strength,

By applying the theorem's
might,

And revealing its hidden insight.

"Discover!" cries the eager mind,

To unravel this
puzzle designed,

To hone its skill with every try,

Until the answer draws nigh.

With steps and rules to guide the way,

The path to
solve now on display,

A journey that the curious
crave,

To find the chord they aim to save.

And when at last the chord is found,

A joyous
victory does resound,

For knowledge gained is a
treasure bright,

And with it, wisdom takes its
flight.

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

Visual Index

All Problems

Triangle

Circle

Chord

Angle

Right Triangle 30-60

Perpendicular lines

Right Triangle

View or Post a solution