Side length 9, 12, 17 forms a obtuse angled triangle.
"Pythagorean triplets are combination of such three numbers which satisfy the Pythagoras theorem a² + b² = c²."
Formula used
Pythagoras triplet
c = hypotenuse
'a' and 'b' other two sides of a triangle
a² + b² = c² (Right angled triangle)
a² + b² ≤ c² (Obtuse angled triangle)
a² + b² ≥ c² (Acute angled triangle)
According to the question,
Given
Side length of a triangle = 9, 12, 17
Substitute the value in the formula of Pythagoras triplet we have,
a² = 81
b² =144
c² =289
c² > a² +b²
Therefore, triangle with side length 9, 12, 17 forms a obtuse angled triangle
Hence, Option(D) is the correct answer.
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