GROWTH DEVELOPMENT CHILD
SUMMATIVE ASSESSMENT
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Yes
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No
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Either A or B
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None of the above
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Detailed explanation-1: -For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4, 5 and 6 are not pythagorean triple.
Detailed explanation-2: -The numbers 4, 5 and 6 do NOT form a pythagorean triple as no permutation of the numbers when subtituted into the Pythagorean Theorem yield a true result. When a Pythagorean triple consists of natural numbers which are relatively prime, it is more properly labeled a primitive Pythagorean triple.
Detailed explanation-3: -What are Pythagorean Triples? The integer solutions to the Pythagorean Theorem, a2 + b2 = c2 are called Pythagorean Triples which contains three positive integers a, b, and c. Hence, 3, 4 and 5 are the Pythagorean triples.
Detailed explanation-4: -A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
Detailed explanation-5: -Hence, 4, 5 and 6 cannot form the sides of right angled triangle. Was this answer helpful?