mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Dissecting Triangles

Dissecting Triangles 1.2 - Solution

arrow_back Return to Dissecting Triangles

According to the converse of the Perpendicular Bisector Theorem, if a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment.

In the diagram, is equidistant from the endpoints of This and the fact that and are perpendicular, mean that is the perpendicular bisector of Therefore, we can say that With this, we can write an equation to find Let's subtract on both sides to find the value of
Finally, to find the value of we will substitute for in the expression