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

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: