Isosceles Triangle Medians

[color=#000000]Use coordinate geometry to prove that the [/color][b][color=#980000]medians[/color][/b][color=#000000] drawn to [/color][color=#9900ff][b]both legs[/b][/color][color=#000000] of an isosceles triangle are [/color][color=#980000][b]congruent[/b][/color][color=#000000]. [br][br]That is, write a coordinate geometry proof that formally proves what this applet informally illustrates. [br][br]Be sure to assign appropriate variable coordinates to key points on this isosceles triangle! [br](The maximum number of variable coordinates your coordinate setup should have is 2.) [br][/color]
[color=#000000]Now prove this same theorem true using the format of a 2-column proof or a paragraph proof.[br][i]Hint: This proof will contain multiple pairs of congruent triangles. [/i][/color]
Quick (Silent) Demo

Information: Isosceles Triangle Medians