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?

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) (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.

RELATED QUESTIONS
Given: segment BA congruent to segment BC, Ray BD bisects angle ABC Prove: D is the... (answered by solver91311)

I have a confusing proof. GIVEN: 1)triangle ABC is isosceles. 2)line segment... (answered by Theo)

Given- Isosceles triangle ABC with segment Ab congruent to segment AC line CD is... (answered by vksarvepalli)

given that triangle abc is an isosceles triangle with base of line segment bc and line... (answered by greenestamps)

how do you solve a two column proof that says the following: Given: segment AB is... (answered by solver91311)

ABC is a triangle its perimeter is 27cm. BD ia a straight line that biscect angle B and... (answered by ikleyn)

In triangle ABC, length AB = 32, length BC = 10, and length AC = 26. If line segment CH... (answered by math_helper,greenestamps)

how do you do a proof that has a given:triangle ABC and triangle EDC, C is the midpoint... (answered by richard1234)

I am confused on what to draw out as triangles, since there are no pictures. Thanks in... (answered by solver91311)