Triangles Test ...

Which of the following sets of measurements can be used to construct a triangle?

In the figure above, $$ABCD$$ is a rectangle. If $$AD = 6$$, which of the following could be the length of $$\overline {AC}$$?

Mark the triplet that can be the lengths of the sides of a triangle.

In $$\displaystyle \Delta XYZ$$, side $$\displaystyle \overline { XZ } $$ is longer than side $$\displaystyle \overline { YZ } $$, which of the following statements is true?

$$\triangle PQR$$ is right angled at $$Q$$, $$PR=5cm$$ and $$QR=4cm$$. If the lengths of sides of another triangle $$ABC$$ are $$3cm$$, $$4cm$$, $$5cm$$, then which one of the following is correct?

In a triangle with sides of $$7$$ and $$9$$, the third side must be

Which of the following set of measurements will form a triangle

In $$\triangle ABC$$, the bisector of $$\angle {A}$$ intersects $$\overline { BC } $$ at a point $$D$$. Then:

The two triangles in the figure are congruent by the congruence theorem. Here, it is given $$OQ=OR$$. Which of the following condition, along with the given condition, is sufficient to prove that the two triangles are congruent to each other?

$$\triangle FGC$$ is an isosceles triangle, which of the following method will prove $$\triangle ABC$$ congruent to $$\triangle DEF$$ ?