SOLUTION: Given:Triangle ABC Segment BD is perpindicular to segment AC Segment BD is a median of Triangle ABC Find: What kind of triangle is Triange ABC?

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Question 165242: Given:Triangle ABC
Segment BD is perpindicular to segment AC
Segment BD is a median of Triangle ABC
Find: What kind of triangle is Triange ABC?
Answer by midwood_trail(310) About Me  (Show Source):
You can put this solution on YOUR website!
Given:Triangle ABC
Segment BD is perpendicular to segment AC
Segment BD is a median of Triangle ABC
What kind of triangle is Triange ABC?
BD is perpendicular to AC. This means that angle D is 90 degrees.
Two triangles are formed: Triangle ABD and Triangle CBD.
BD is also a median. This means that it divides AC into two equal parts.
From the given data, I gather that AB = BC but also that AB and BC do not equal AC.
I think this is an isosceles triangle.