Question

I NEED THIS DONE, PLEASE HELP...
Fill in the blank:
To prove that the medians of an isosceles triangle meet at a point, show that the ____ of a side lies on the line containing the opposite _____ and the point where the other two ____ intersect

Answer 1

Might be:

*midpoint* of a side

opposite *vertex*

*medians* intersect

Answer 2

If three lines meet at a single point, we say that the lines are concurrent.

Note that median is a line joining one vertex of a triangle with the midpoint of its opposite side.

Draw two medians for the given isosceles triangle.

Now, join the point of intersection of these medians and the third vertex.

If we prove the midpoint of the opposite side lies on this line, then it will be proved that the medians of the given isosceles triangle meet at a point.

Hence, here is the correct statement with blanks filled.

The midpoint of a side lies on the line containing the opposite vertex and the point where the other two medians intersect.