Prove using vectors: If two medians of a triangle are equal, then it is isosceles.

Prove using vectors: Medians of a triangle are concurrent.

Prove that the medians of an equilateral triangle are equal.

Prove that the medians of an equilateral triangle are equal.

Prove that the medians of a triangle are concurrent.

The median of a triangle divides it into two

Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is 60^0 If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

Prove using vectors: The median to the base of an isosceles triangle is perpendicular to the base.

If the median to the base of a triangle is perpendicular to the base, then triangle is isosceles.

Prove that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.

Prove that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.