CHILD DEVELOPMENT PEDAGOGY

GROWTH DEVELOPMENT CHILD

SUMMATIVE ASSESSMENT

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Does the set of numbers represent a Pythagorean Triple.4, 5, 6
A
Yes
B
No
C
Either A or B
D
None of the above
Explanation: 

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?

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