Arithmetic Ability | Triangles

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Area Circum-centre Incentre

Questions

Which of the set of three sides can't form a triangle?

A point D is taken on the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then

In ΔABC and ΔDEF, AB = DE and BC = EF, then one can infer that ΔABC ≅ ΔDEF, when

If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?

ABC is an equilateral triangle. Points D, E and F are taken as the mid-point on sides AB, BC, AC respectively, so that AD = BE = CF. Then AE, BF, CD enclosed a triangle which is:

The orthocenter of a triangle is the point where?