Theorem - Angles opposite to equal sides are equal

Theorem 7.2 : Angles opposite to equal sides of an isosceles triangle are equal.

Show that in an isosceles triangle, the angles opposite to the equal sides are equal.

Show that in an isosceles triangle,angles opposite to equal sides are equal.

The angles opposite to equal sides of an isosceles triangle are ..........

Prove that the angle opposite to the equal sides of an equilateral triangle are equal.

Angles opposite to two equal sides of a triangle are equal.

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.

Converse of Pythagoras theorem: In a triangle; If the square of one side is equal to the sum of the squares of the other two sides. then the angle opposite to the side is a right angle.

In a parallelogram opposite sides are equal

Theorem 7.3 : The sides opposite to equal angles of a triangle are equal.