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WikiCards · Card list · Science cards · Triangle inequality
Uncommon card · Science
Triangle inequality, an Uncommon card
In mathematics, the triangle inequality states that for any triangle in Euclidean space, the sum of the lengths of any two sides must be greater than or equal to the length of the third side.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 71
- DEF
- 60
- Power
- 131
- Wikipedia reads a year
- 130,000
Power 131 (ATK + DEF): stronger than 65 % of WikiCards cards.
Triangle inequality quiz: 3 questions
Three questions on the Triangle inequality card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
When one side length is equal to the sum of the other two, c = a + b , the triangle is ______, with zero area.
Answer
degenerate. When one side length is equal to the sum of the other two, c = a + b , the triangle is degenerate, with zero area. From the Triangle inequality article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
64-bit computing. 64-bit computing 79 · Zach Johnson 74 · Triangle inequality 71 · Geiger counter 67 ATK in WikiCards.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- If a, b, and c are the lengths of the sides of a triangle then: c ≤ a + b. The same inequality holds when the sides of the triangle are relabeled, so also b ≤ a + c and a ≤ b + c .
- When one side length is equal to the sum of the other two, c = a + b , the triangle is degenerate, with zero area.
- The triangle inequality implies a related statement for Euclidean vectors, also called the triangle inequality, if u and v are vectors, then u, v, and their sum u + v can be pictured as sides that are assembled into a triangle, with each vector's norm as the length of the corresponding side.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Triangle inequality article was read about 130,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 71 and blocks with 60: each hit it takes is cut by 24 %.
How to get Triangle inequality
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Triangle inequality in the power ranking, all domains together.
- Brandon NimmoUncommon · Society · ATK 70 DEF 61
- Jake OettingerUncommon · Society · ATK 71 DEF 60
- Tayshaun PrinceUncommon · History · ATK 72 DEF 59
- Vittorio GassmanUncommon · Arts · ATK 70 DEF 61
- Zach JohnsonUncommon · Society · ATK 74 DEF 57
- AnatidaeUncommon · Nature · ATK 73 DEF 58
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Credits
Text : Wikipedia, Triangle inequality (revision), CC BY-SA 4.0. Photo : WhiteTimberwolf , Brews ohare (PNG version), CC BY-SA 3.0, Wikimedia Commons.
