Which of the following triplets are Pythagorean?
(i) (14, 48, 50)
(ii) (18, 79, 82)
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Which of the following triplets are Pythagorean?
(i) (14, 48, 50)
(ii) (18, 79, 82)
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Answer:
1) (14,48,50)
is a triplet
Verified answer
Answer:
Step-by-step explanation:
As we know that 50 is the largest side.
= [tex]AC^{2} = AB^{2} + BC^{2}[/tex]
= [tex]50^{2}[/tex] = [tex]14^{2}[/tex]+[tex]48^{2}[/tex]
= 2500 = 2500
Therefore, 14 48 and 50 can be the pythagorean triplets.
As we know that 82 is the largest side.
=[tex]AC^{2} = AB^{2} + BC^{2}[/tex]
= [tex]82^{2} = 79x^{2} + 18^{2}[/tex]
= 6724 [tex]\neq[/tex] 6565
Therefore, 18 79 and 82 are not pythagorean triplets.