Point Y is the circumcenter of ΔDEF. Find the length of FY. FY measures units.

Question

asked Jan 23, 2019 98.8k views

2 Answers

Massimo Griffani · Answer 1 · 2019-01-30T02:50:49+0000

Answer: FY measures 22 units.

Explanation:

1. The triangle FYN and EYN are congruent.

2. Based on this, you can conclude the side FY and the side EY are equal, this means that both sides have the same length.

3. Therefore, you have:

FYN=EYN

4. You must substitute values and solve for
, as following:

$3x+7=5x-3\\2x=10\\x=5$

5. Now, you can calculate the length FY:

3(5)+7=22