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Math Puzzle for December 27, 2024

Trigonometry untangles the tricky triangle teaser

Alameda Post - one smaller similar triangle sits inside the other larger similar triangle. The distance between the three sides of the inner triangle and the three corresponding sides of the outer triangle are all labeled "X."

Depicted above are two similar triangles; their sides are parallel.
The largest angle in either triangle above is 66 degrees.
The smallest angle in either triangle above is 52 degrees.
The inner triangle has a perimeter of 108 units.
The outer triangle has a perimeter of 324 units.
Find the value of x.

x = ______ units

The first correct answer to arrive at [email protected] wins a valuable gift card for Tucker’s Ice Cream.

Last week’s winner was Karl Bliven with L = 5,280 centimeters.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected].

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