Pythagoras triplet of 33,56,65
Answers
Step-by-step explanation:
PYTHAGORAS TRIPLET
33
We can get pythagoras triplet by using general form 2m,m²-1,m²+1.
2m=33
m=33/2
m=16.5
put m=16.5 in 2m
=2×16.5
=33
put m=16.5in m²-1
=(16.5)²-1
=272.25-1
=271.25
put m=16.5 in m²+1
=(16.5)²+1
273.25
56
PYTHAGORAS TRIPLET..
we can get pythagoras triplet by using general form 2m,m²-1,m²+1
2m=56
m=56/2
m=28
putm=28 in 2m
2×28=56
put m=28 in m²-1
(28)²-1
783
putm=28 in m²+1
=(28)² +1
=784
65
PYTHAGORAS TRIPLET..
we can get pythagoras triplet bu using general form 2m,m²-1,m²+1
2m=65
m=65/2
m=32.5
putm=32.5in 2m
=32.5×2=65
putm=32.5in m²-1
=(32.5)²-1
=1055.25
put m=32.5 in m²+1
=(32.5)²+1
=1057.25
PLEASE MARK BRAINLIST..
Answer:
33 = ( 16.5 , 271.25 , 273.25)
56 = ( 28, 783,785)
65 =( 32.5, 1055.25, 1057.25)
Step-by-step explanation:
Concept= Pythagoras Theorem
Given = Three numbers
To find= The Pythagoras Triplet of each
Explanation=
We know that Pythagoras triplet are 2x , x² -1 and x²+1.
The given number is compared with 2x and value of x is determined and further triplet are calculated.
Pythagoras Triplet of =>
33:
2x = 33
x = 33/2 = 16.5
now x² = 16.5² = 16.5*16.5 = 272.25
so, x² -1 = 272.25 -1 = 271.25
x² +1 = 272.25 + 1 = 273.25
Pythagoras Triplet of 33 = ( 16.5 , 271.25 , 273.25).
56:
2x= 56
x = 56/2 = 28
x² = 28² = 28*28 = 784
x²-1= 784 -1 =783
x²+1= 784 + 1 = 785
Pythagoras triplet of 56 = ( 28, 783,785)
65:
2x= 65
x = 65/2 = 32.5
x² = 32.5²= 32.5*32.5 = 1056.25
x² -1 = 1056.25 - 1 = 1055.25
x² +1 = 1056.25 + 1 = 1057.25
Pythagoras Triplet of 65 =( 32.5, 1055.25, 1057.25).
Hence all the values found.
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