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Answers
Answer:
iii. 20
Step-by-step explanation:
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Answer:
(i)the formula is (2m)2,(m2 - 1)2,(m2 + 1)2
smallest no. = 2m = 16
2m = 16
m = 8
m²-1 = 64 -1 = 63
m² + 1 = 64 + 1 = 65
Thus, the Pythagorean triplet is 8, 63 ,65
(ii)Formula=(2m)²,(m²-1)².(m²+1)²
according to ques
smallest number =14
means 2m =14
m=14/2=7
m²-1= 7²-1= 49-1= 48
m²+1=7²+1= 49+1=50
hence the required triplet is 14, 48 and 50
(iii)Pythagorean triplet is :
2m
m² - 1
m² + 1
Smallest number (2m) = 20
⇒ 2m = 20
⇒ m = 20/2
⇒ m = 10
Finding the value of m² - 1
m² - 1
= (10)² - 1
= 100 - 1
= 99
i.e m² - 1 = 99
Finding the value of m² + 1
m² + 1
= (10)² + 1
= 100 + 1
= 101
i e, m² + 1 = 101
∴ the Pythagorean triplet whose smallest number is 20 is 20, 99 and 101.