SOLUTION: Which set of line segments could create a right triangle? 5, 6, 11 5, 9, 10 5, 13, 18 5, 12, 13

Algebra.Com
Question 915979: Which set of line segments could create a right triangle?
5, 6, 11
5, 9, 10
5, 13, 18
5, 12, 13

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
5, 6, 11:

a^2 + b^2 = c^2

5^2 + 6^2 = 11^2

25 + 36 = 121

61 = 121 ... this is false, so 5,6,11 is not a right triangle.

-------------------------------------------------------
5, 9, 10:

a^2 + b^2 = c^2

5^2 + 9^2 = 10^2

25 + 81 = 100

106 = 100 ... this is false, so 5,9,10 is not a right triangle.

-------------------------------------------------------

I'll let you handle the others

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim

RELATED QUESTIONS

Which set of line segments could create a right triangle? 5, 6, 11 5, 9, 10 5,... (answered by richwmiller)
Which set of line segments could create a right triangle? 15, 30, 35 15, 36, 39... (answered by Edwin McCravy,MathTherapy)
Each set of numbers below represents the lengths of three line segments. Which set... (answered by Tatiana_Stebko)
Which of the following could not be the lengths of the sides of a right triangle? A. 3,... (answered by Fombitz)
9. Each set of numbers below represents the lengths of three line segments. Which set... (answered by Tatiana_Stebko)
Which one of the following could not represent the lengths of the sides a right triangle? (answered by Alan3354)
Could the following set of numbers be the measures of the sides of a right triangle: 5,... (answered by ikleyn)
Could the set of numbers be the measures of the sides of a right triangle: 5, 12, 13?... (answered by josgarithmetic,MathTherapy)
Each set of numbers below represents the lengths of three line segments. Which set... (answered by cleomenius)