write a Pythagorean triplet whose one number is 16
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Answered by
3
REF. Image.
We know the basic Pythagorean
triplet 3, 4 and 5.
Let us construct a triangle which have sides in a multiple of 3, 4 & 5.
here AB=3a
BC=4a
& let, get AC as 5a
From Pythagoras theorem
where aϵz
+
AC
2
=AB
2
+BC
2
=(3a)
2
+(4a)
2
=9a
2
+16a
2
AC
2
=25a
2
AC=5a
So, Let us put a = 4 we get
AB = 12, BC = 16 & AC = 20.
So, We have Pythagorean triplet:
12, 16 and 20.
Answered by
32
Answer:
Let us construct a triangle which have sides in a multiple of 3, 4 & 5.
here AB=3a
BC=4a
& let, get AC as 5a
From Pythagoras theorem
where aϵz
+
AC
2
=AB
2
+BC
2
=(3a)
2
+(4a)
2
=9a
2
+16a
2
AC
2
=25a
2
AC=5a
So, Let us put a = 4 we get
AB = 12, BC = 16 & AC = 20.
So, We have Pythagorean triplet:
12, 16 and 20.
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