Triangles Test ...

In the adjoining figure, $$AB=AC$$ and $$AP\bot BC$$. Then:

Which pair of triangles is not congruent by $$SAS$$ congruence criterion 

If $$AB=QR$$, $$BC=PQ$$ and $$CA=PR$$, then:

State the property by which $$\Delta ADB\, \cong\, \Delta ADC$$ in the following figure.,

Ankita wants to prove $$\Delta ABC\cong \Delta DEF$$ using $$SAS$$. She knows $$AB=DE$$ and $$AC=DF$$. What additional piece of information does she need?

By which congruency property, the two triangles connected by the following figure are congruent.

If  $$4$$ cm and $$3$$ cm are the lengths of two sides of a triangle then the length of the third side may be_____.

Two sides of a triangle are $$7$$ and $$10$$ units, which of the following length can be the length of the third side?

In the given fig. if AD = BC and AD || BC, then:

ABC is an isosceles triangle in which the altitudes $$BE$$ and $$CF$$ are drawn to the equal sides $$AC$$ and $$AB$$ respectively. Then