Write a pythagorean triplet with 7 as a member
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Answered by
66
(25)² = (24)² + (7)²
625 = 576 + 49
625= 625
Pythagorean Triplet of 7 are 25, 24 and 7
625 = 576 + 49
625= 625
Pythagorean Triplet of 7 are 25, 24 and 7
Answered by
98
Solution :-
As we know that 2m, m² + 1 and m² - 1 form a Pythagorean Triplet for any number, m > 1.
Let us assume 2m = 7
Therefore, m = 7/2 = 3.5
And, m² + 1
= (3.5)² + 1
= 12.25 + 1
= 13.25
And, m² - 1
= (3.5)² - 1
= 12.25 - 1
= 11.25
Test = (7)² + (11.25)² = (13.25)²
⇒ 49 + 126.5625 = 175.5625
⇒ 175.5625 = 175.5625
Hence, Pythagorean Triplet with 7 as a number is 7, 11.25 and 13.25
Answer.
As we know that 2m, m² + 1 and m² - 1 form a Pythagorean Triplet for any number, m > 1.
Let us assume 2m = 7
Therefore, m = 7/2 = 3.5
And, m² + 1
= (3.5)² + 1
= 12.25 + 1
= 13.25
And, m² - 1
= (3.5)² - 1
= 12.25 - 1
= 11.25
Test = (7)² + (11.25)² = (13.25)²
⇒ 49 + 126.5625 = 175.5625
⇒ 175.5625 = 175.5625
Hence, Pythagorean Triplet with 7 as a number is 7, 11.25 and 13.25
Answer.
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