Answer:
[tex]\large\boxed{\text{this is not a right triangle}}[/tex]
Explanation:
A triangle is a right triangle if and only if it satisfies Pythagora's theorem.
In a right triangle, the longest side is the hypotenuse (17 units in this case), and the other two sides are the legs (8 units and 14 units).
Let us use the theorem:
[tex]17^2=289\\ \\ 8^2+14^2=64+196=260\\ \\ 289\neq 260[/tex]
Hence, since the sides of the triangle does not satisfy the Pythagorean theorem, this is not a right triangle.
