Triangles-Sample Questions

1.  Prove that angles opposite to equal sides of an isosceles triangle are equal.

2.  In a triangle ABC, E and F respectively are mid-points of equal sides AB and AC of ΔABC. Show that BF = CE.

3.  AD is an altitude of an isosceles ΔABC in which AB = AC. Show that AD bisects BC.

4.  D is a point on side BC of ΔABC such that AD = AC. Show that AB > AD.

5.  In ΔABC, if BC = AB and └B=80° then find the measure of └�A.

6.  The angles of a triangle are in the ratio 2:3:4. Find the measure of the angles.

7.  In ΔABC, if └A = 80°, └B = 70°, then identify the longest and the shortest side of the triangle.

8.  ABCD is a square. P is any point inside it such that, DPQR is another square. Prove that AP = CR.

9.  In a ΔABC, if └A = └B, then what is AB : BC

10.  Prove that any two sides of a triangle are together greater than twice the median drawn to thethird side.