Explain whether or not the triangles shown could lie on the same line

yes, the triangles could lie on the same line!

Step-by-step explanation:

(i'm assuming that the problem showed two traingles.

one triange probably showed 72 on one side and 12 on bottom).

m=72/12

m=6

(if there is a second triangle it probably showed 144 on the side and 24 on the bottom).

m=144/24

m=6

i hope that made sense, sorry if it didn't... i tried my best :)

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.