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Write Three Sets of Pythagorean Triplets Such that Each Set Has Numbers Less than 30. - Mathematics

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Sum

Write three sets of Pythagorean triplets such that each set has numbers less than 30.

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Solution

The three sets of Pythagorean triplets such that each set has numbers less than 30 are 3, 4 and 5; 6, 8 and 10; 5, 12 and 13
Proof:
In 3, 4 and 5
32 + 42 = 52
⇒ 9 + 16 = 25
⇒ 25 = 25
In 6, 8 and 10
62 + 82 = 102
⇒ 36 + 64 = 100
⇒ 100 = 100
In 5, 12, and 13
52 + 122 = 132
⇒ 25 + 144 = 169
⇒ 169 = 169

Concept: Properties of Square Numbers
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (C) | Q 14 | Page 45

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