Point y is the circumcenter of δdef. point y is the circumcenter of triangle d e f. lines are drawn from the points of the triangles to point y. lines are drawn from point y to the sides of the triangle to form right angles and line segments y l, y m, and y n. the line segments cut the sides of the triangles into 2 equal parts. the length of f y is 3 x + 7 and the length of y e is 5 x minus 3. find fy.
a. 5
b. 11
c. 17
d. 22

Option D.

Step-by-step explanation:

Given information: Point Y is the circumcenter of ΔDEF, FY=3x+7 and YE=5x-3.

It the perpendicular bisectors of the sides of a triangle intersect at point P, then P is the circumcenter of the triangle and it is equidistant from the three vertices.

Since Y is the circumcenter of ΔDEF, So by using the definition of circumcenter we can say that YE is equal to FY.

Divide both sides by -2.

The value of x is 5.

We need to find the value of FY.

Therefore, the correct option is D.