find the Pythagorean triplet in which one number is 20
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Answered by
5
Answer:
9,11,20
Step-by-step explanation:
2m , m-1 , m+1
2m = 20 m = 20/2 = 10
m-1 = 10-1 = 9
m+1 = 10+1 = 11
20,9,11
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Answered by
3
✪ Question ✪
Find the Pythagorean triplet in which one number is 20.
✪ To find ✪
The Pythagorean triplet.
✪ Pythagorean Triplet ✪
A Pythagorean Triplet with x:-
{2m, (m²-1), (m²+1)}
✪ Solution ✪
Consider that 20 is the smallest member of the triplet.
According to the triplet with m,
2m = 20
So,
2m = 20
⇒m = 20/2
⇒m = 10
So, m = 10.
- (m²-1)
= (10²-1)
= (100-1)
= 99
- (m²+1)
= (10²+1)
= (100+1)
= 101
✪ Hence ✪
2m = 20
(m²-1) = 99
(m²+1) = 101
✪ Therefore ✪
The Pythagorean triplet in which one number is 20 is (20, 99, 101).
๑ Hope this helps you. ๑
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