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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.

5
11
17
22

Respuesta :

akposevictor

The length of FY in the triangle that has Y as its circumcenter is: D. 22 units.

What is the Circumcenter of a Triangle?

The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides of a triangle intersect.

Based on the definition of the circumcenter, and Y is the circumcenter, therefore:

YE = FY

Plug in the values

5x - 3 = 3x + 7

5x - 3x = 3 + 7

2x = 10

x = 5

FY = 3x + 7 = 3(5) + 7

FY = 22 units.

Learn more about the circumcenter of a triangle on:

https://brainly.com/question/8055762

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