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.

Explanation

Let's analyze each statement one by one and determine whether they are true (T) or false (F).

1. **Side opposite to equal angles of a triangle may be unequal.**
- **Analysis:** In a triangle, if two angles are equal, the sides opposite those angles must also be equal (by the Isosceles Triangle Theorem). Therefore, this statement is false.
- **Conclusion:** **F**

2. **Angle opposite to equal sides of a triangle are equal.**
- **Analysis:** According to the Isosceles Triangle Theorem, if two sides of a triangle are equal, the angles opposite those sides are also equal. Hence, this statement is true.
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