Which set of side lengths is from a right triangle? 6,9,14 4,8,1010,18,24

Hello from MrBillDoesMath!

None of them

Discussion:

Let's see

Does  6^2 + 9 ^2 = 14 ^2  ?   =>

          36   + 81    = 192  ?  =>

         117  = 192?    NO Way! Not a right triangle

Does 4^2 + 8^2 = 10 ^2   ?  =>

         16 + 64 = 100 ?    NO Way. Not a right triangle.

Does 10^2 + 18^2 = 24^2 ?   =>

         100 + 324  =  576  ? =>

         424 = 576 ?  NO Way. Not a right triangle

Thank you,

MrB

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.