Set Theory (solution)

by Michael Colao

The object is to:

  1. determine what the two elements of each triangle have in common
  2. determine another valid member of the set to take the third leg of the equilateral triangle and
  3. do so in such a way that the three elements on the inner triangle sides also have something in common, that thing is the answer to each triangle puzzle.

A

Top Triangle
Drugstore, Urban, with Midnight, words that precede Cowboy in film titles
Left Triangle
Relax, Loosen Up, with Chill, informal terms for “calm down”
Right Triangle
Holland Herald, Hemispheres, with High Life, Inflight Magazines (for KLM, United and British Airways respectively)
Overall
Midnight, Chill, High Life, all are MILLER products

B

Top Triangle
Bart, Lisa, with Maggie, Children in The Simpsons
Left Triangle
Square, Slip, with Granny, Knots
Right Triangle
Reflex, Fortitude, with Will, Saving throws in D20 games
Overall
Maggie, Granny, Will, all precede SMITH

C

Top Triangle
Chrysler, GM, with Ford, American Automobile Manufacturers
Left Triangle
Catbert, Heathcliff, with Garfield, cats from syndicated comics
Right Triangle
10, The Hound of the Baskervilles, with Arthur, Dudley Moore Movies
Overall
Ford, Garfield, Arthur, all are PRESIDENTS

D

Top Triangle
Okinawa, Tinian, with Iwo Jima, major “Island Hopping” US Marines battles in WWII
Left Triangle
Lady Ysabell, Binky, with Albert, Death’s companions in the Discworld books
Right Triangle
Omaha, North Platte, with Lincoln, cities of Nebraska
Overall
Iwo Jima, Albert, Lincoln, all can be followed by MEMORIAL

E

Top Triangle
Grey, White, with Black, colors with even RGB values
Left Triangle
Familial, Platonic, with Romantic, types of Love
Right Triangle
Slider, Knuckle Curve, with Screwball, Breaking balls in baseball
Overall
Black, Romantic, Screwball, all are types of COMEDY

F

Top Triangle
Electrical, Chemical, with Civil (or curiously with Nuclear), types of engineering
Left Triangle
Hannukkah, Rosh Hashanah, with Yom Kippur, Jewish Holidays
Right Triangle
Itchy, Crow’s, with Cold, all are Feet
Overall
Civil (or Nuclear), Yom Kippur, Cold, all clue WAR

Grand Finale

Top Triangle
Miller, Smith, with Cooper, Medieval professions
Left Triangle
Comedy, War, with Western, genres of film
Right Triangle
Presidents, Memorial, with Labor, US holidays when followed with the word “Day”
Overall
Cooper, Western, Labor, all can be followed by UNION, which is the final answer