Answer:
The right triangle of sides 3 and 5 does not form Pythagorean triple.
Explanation:
A Pythagorean triple is a triple of positive integers a, b, and c such that a right triangle exists with legs a,b and hypotenuse c. By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying
[tex]a^2+b^2=c^2.[/tex]
The smallest and best-known Pythagorean triple is (a,b,c)=(3,4,5). The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle.
Here in the question the legs of the right triangle are 3 and 5
Now by using Pythagorean theorem
[tex]3^2+5^2 = c^2[/tex]
[tex]9+25 = c^2[/tex]
[tex]34 = c^2[/tex]
[tex]c= \sqrt{34}[/tex]
Hence it is not a Pythagorean triple
