SOLUTION: Which of these sets of dimension does not represent a right triangle A 6,8 and 10 B 2,3 and 4 C 5,12 and 13 D 8,15 and 17

Algebra.Com
Question 335925: Which of these sets of dimension does not represent a right triangle
A 6,8 and 10
B 2,3 and 4
C 5,12 and 13
D 8,15 and 17
Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
A 6,8 and 10
B 2,3 and 4
C 5,12 and 13
D 8,15 and 17

Try them all in the Pythagorean theorem and see
which ones, if any, check correct and which ones,
if any, don't check:

6² + 8² = 10²
36 + 64 = 100
    100 = 100

That checks.

2² + 3² = 4²
 4 +  9 = 16
     13 = 16 

That doesn't check.

5² + 12² = 13²
25 + 144 = 169
     169 = 169

That checks.

8² + 15² = 17²
64 + 225 = 289
     289 = 289

So the only one that doesn't check is 

B 2,3 and 4

Edwin
RELATED QUESTIONS

Which one of the following could not represent the lengths of the sides a right triangle? (answered by Alan3354)
Given A = { 2, 4, 8 , 9 }, B = { 5. 8. 9 }, C = { 8, 11, 12, 17 } AND Universal... (answered by chiefman)
A triangle has sides of the following lengths: 1 meter, 3/2 meter and 5/6 meter. Which of (answered by edjones)
A triangle has sides of the following lengths: 1 meter, 3/2 meter and 5/6 meter. Which of (answered by mananth,sudhanshu_kmr)
What are the dimensions of a right angle triangle that is similar to the 3 -4 -5... (answered by Theo)
Which of the following could not be the lengths of the sides of a right triangle? A. 3,... (answered by Fombitz)
Triangle ABC has vertices A(4, 8), B(2, –4), and C(6, 0). Find the vertices of A´B´C´... (answered by ewatrrr)
Triangle ABC has vertices A(4, 8), B(2, –4), and C(6, 0). Find the vertices of A´B´C´... (answered by ewatrrr)
Which of these sets of coordinates is not a function? a){(3, 2), (5, -1), (13, 12), (-2, (answered by MRperkins)