Determine whether it is possible to draw a triangle with sides of the given lengths. Write yes or no. 12, 14, 27

No

Step-by-step explanation:

To have a triangle you have to add up the two shorter sides and it should be greater than or equal to the longest side.

12 + 14 = 26

26 is less than 27

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.