BMSAT Kozhikode: GeometryTriangles. Free, no login required.

In a $\triangle ABC$, D is a point on AC such that AD=2 cm, DC = 6 cm and $\angle ADB = \angle ABC$. Which of the following cannot be the length of BC?

The sides of a triangle are 2006 cm, 6002 cm and 'm' cm, where m is a positive integer. How many values of 'm' are possible?

If one angle of a triangle is equal to the sum of the other two angles, then the triangle must be