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grigory [225]
3 years ago
12

Which length could represent the side length of a right triangle?

Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

A

Step-by-step explanation:

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

I

longest side squared = (\sqrt{74} )² = 74

5² + 7² = 25 + 49 = 74

Thus these sides represent a right triangle

II

longest side squared = (\sqrt{106} )² = 106

7² + 8² = 49 + 64 = 113

These sides do not represent a right triangle

III

longest side squared = (\sqrt{133} )² = 133

6² + 10² = 36 + 100 = 136

These sides do not represent a right triangle

The only valid sides are I → A

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Answer:

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Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:

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