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- In figure, T is a point on side QR of ∆PQR and S is a point such that RT = ST. Prove that PQ + PR > QS
- In a right angled triangle, one acute angle is double the other. Prove that the hypotenuse is double the smallest side.
- If D is the mid-point of the hypotenuse AC of a right triangle ABC, prove that BD = 1/2 AC.
- Prove that measure of each angle of an equilateral triangle is 60^0 .
- Prove that If the bisector of the vertical angle bisects the base of the triangle, then the triangle is isosceles.

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