SOLUTION: Can there be a right triangle with sides of length 1, 2 and 3? Why or why not? Can yo find a right triangle whose side lengths are consecutive natural numbers?

SOLUTION: Can there be a right triangle with sides of length 1, 2 and 3? Why or why not? Can yo find a right triangle whose side lengths are consecutive natural numbers?

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Question 164372This question is from textbook Heart of Mathmatics
: Can there be a right triangle with sides of length 1, 2 and 3? Why or why not? Can yo find a right triangle whose side lengths are consecutive natural numbers?
This question is from textbook Heart of Mathmatics

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
a^2+b^2=c^2
1^2+2^2=3^2
1+4=9
5=9 this says there is no right triangle with sides=1,2 & 3.
However there is a right triangle that has sides of 3 consecutive natural numbers.
3,4 & 5.
Proof:
3^2+4^2=5^2
9+16=25
25=25
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