For a better understanding of the solution given here please find the attached file which has the relevant diagram.
To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.
Please follow the diagram of a complete understanding of the logic and the solution.
As EF is the angle bisector as given in the question, thus we will have:
.
Also, from the Theorem we know that KF will be half of DK and thus, KF will be:
centimeters.
Likewise, from the same theorem we have: 
We have to make an equation: a number increased by 10 is 114.
An equation is:
x + 10 = 114
x = 114 - 10
x = 104.
Answer:
a < -4
I apologise if it is wrong.
Size of the painting: A * B
Scale factor: 1/3
Size of the photo: [1/3]A * [1/3]B
[1/3]A = 13inches
A = 13inches * 3 = 39 inches
[1/3]B = 17 inches
B = 17 inces * 3 = 51 inches.
Answer: the size of the painting is 39 inches by 51 inches.