If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
Answer:
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Step-by-step explanation:
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Answer:
10 centimetre / 5 seconds
Step-by-step explanation:
10 cm / 5 sec means that you are travelling 10 cm every 5 seconds. Or 2 cm every 1 seconds. ( Divide by 5).
10 cm / 20 seconds means that you are travelling 10 cm every 20 seconds. Or 0.5 cm ever 1 second. (Divide by 20)
The answer is 7.4 hope it helps
The name of the treatise in which Euclid compiled all the existing geometric knowledge is called Euclid's Elements. It consists of 13 books. It was written in 300 BC.