What is #2 ? In the figure shown , QP = 2x + 9 and QM = 5x - 3 FIND QN

Given:

To find:

The value of QN.

Solution:

From the figure it is clear that, point Q is the intersection point of angle bisectors. So, point Q is the incenter.

   ...(i)  [Incenter is equidistant from each side of triangle]

Using (i), we get

Divide both sides by -3.

Now,

Using (i), we get

Therefore, the value of QN is 17.

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6