Triangles Test ...

If in two triangles $$ABC$$ and $$PQR$$,
$$\cfrac{AB}{QR}=\cfrac{BC}{PR}=\cfrac{CA}{PQ}$$, then

In $$\triangle ABC$$, $$D$$ and $$E$$ are midpoints of $$AB$$ and $$AC$$ respectively. Find the ratio of the areas of $$\triangle ADE$$ and $$\triangle ABC$$.

In triangles $$ABC$$ and $$DEF$$, $$\angle B=\angle E, \angle F=\angle C$$ and $$AB=3DE$$. Then, the two triangles are:

The areas of two similar triangles are $$12$$ $${cm}^{2}$$ and $$48$$ $${cm}^{2}$$. If the height of the smaller one is $$2.1$$ $$cm$$, then the corresponding height of the bigger one is:

State which pair of triangles in figure are similar.  Write the similarity criterion used by you for answering the question.

If in two triangles $$DEF$$ and $$PQR$$, $$\angle D=\angle Q$$ and $$\angle R=\angle E$$, then which of the following is not true?

In the given figure, $$\angle ABC={90}^{o}$$ and $$BD\bot AC$$. If $$AB=5.7cm, BD=3.8cm$$ and $$CD=5.4cm$$, Find the length of $$BC$$.

In $$\triangle PQR$$, $$LM\parallel QR$$ and $$PM:MR=3:4$$. Calculate$$\cfrac{PL}{PQ}$$ and then $$\cfrac{LM}{QR}$$

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