SOLUTION: Which of the following could not be the lengths of the sides of a right triangle? A. 3, 4, 5 B. 5, 12, 13 C. 8, 15, 17 D. 12, 15, 18 E. 9, 12, 15

Algebra ->  Triangles -> SOLUTION: Which of the following could not be the lengths of the sides of a right triangle? A. 3, 4, 5 B. 5, 12, 13 C. 8, 15, 17 D. 12, 15, 18 E. 9, 12, 15       Log On


   

Question 119310: Which of the following could not be the lengths of the sides of a right triangle?
A. 3, 4, 5
B. 5, 12, 13
C. 8, 15, 17
D. 12, 15, 18
E. 9, 12, 15
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Right triangles have sides that are Pythagorean triplets.
That is, the following relationship holds true.
a%5E2%2Bb%5E2=c%5E2
where c is the hypotenuse and a and b are the other two sides.
A.)3,4,5
9+16=25.
25=25.
True
B.)5,12,13
25+144=169.
169=169.
True
C.)8,15,17
64+225=289.
289=289.
True
D.)12,15,18
144+225=324.
369=324.
False
E.)9,12,15
81+144=225.
225=225.
True
D.) Cannot be a solution set since it doesn't uphold the Pythagorean theorem.