Which of the following triplets are Pythagoras triplets?
a) 8,10,12
b) 15,10,25
Answers
Answered by
2
Answer:
8,10,12
i hope my answer will help you.
Answered by
1
Before, finding the answer. Let's find out how we can find the answer.
- In this question, we are asked to find whether the following triples are Pythagoras triplets.
__________________
Given :
- 8, 10, 12
To find :
- whether they are Pythagoras triplets
Solution :
a) 8,10,12
⇒ Here,
- 8 = Base
- 10 = Altitude
- 12 = Hypotenuse
LHS = Hypotenuse²
= 12²
= 144
RHS = Altitude² + Base²
= 10² + 8²
= 100 + 16
= 116
- LHS ≠ RHS.
Therefore, the following pair is not Pythagoras triplet.
b) 15,10,25
⇒ Here,
- 10 = Base
- 15 = Altitude
- 25 = Hypotenuse
LHS = Hypotenuse²
= 25²
= 625
RHS = Altitude² + Base²
= 15² + 10²
= 225 + 625
= 850
- LHS ≠ RHS.
Therefore, the following pair is not Pythagoras triplet.
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