Triangles Test ...

$$Q$$ is a point on side RS of $$\Delta PSR$$ such that $$PQ =PR$$ then which of the following is correct:

If $$AB = 1$$, then radius of the inscribed circle

is:

$$\Delta ABC$$ is congruent of $$\Delta DEF$$, if

If length of the largest side of a triangle is 12 cm then other two sides of triangle can be 

In the figure given above, $$AP$$ $$\perp l$$ i.e., $$AP$$ is the shortest line segment that can be drawn from $$A$$ to the line $$l$$. If $$PR > PQ$$, which of the following is true.

If $$E$$ is a point on side $$QR$$ of $$\Delta PQR$$ such that $$PE$$ bisects $$\angle QPR$$, then :

In triangle $$ ABC$$, $$\angle B=30^{o}$$ and $$\angle$$ C$$=70^{o}$$. The greatest side of the triangle is

If $$AB = 7$$ cm, $$BP = 4$$ cm, $$AP = 5.4$$ cm, then compare the segments.

In the following figure; $$ AC= CD $$, $$ AD= BD $$ and $$ \angle C= 58^{\circ} $$. Find angle $$ CAB $$.

In the figure $$\angle  ABC=135^{\circ},\angle ABX=90^{\circ} ,\angle XCD=55^{\circ}, \angle BCD=100^{\circ}$$,then determine whether $$\angle XBC$$ and $$\angle XCB$$ are congruent to each other.