Triangles Test ...

If the corresponding sides of two triangles are proportional, then the two triangles are similar by which test

In $$\triangle ABC$$ and $$\triangle PQR$$, $$\angle A=\angle R, \angle B=\angle Q, AB=28, BC=10, AC=24, PQ=5$$ and $$QR= 14$$. Then the length of the side $$PR$$ is :

If ratio of heights of two similar triangles is $$4:9$$, then ratio between their areas is?

State the criterion using which the above triangles are similar.

In the given $$\Delta$$ $$ABC$$, if $$AB$$ $$=$$ $$AC$$ and $$BD$$ $$=$$ $$DC$$, then $$\angle$$ $$ADC$$ $$=$$ ___________.

If all three angles in one triangle are the same as the corresponding angles in another triangle, then the triangles are similar by which test ?

In $$\triangle ADE, \angle D=90^{o}, BC=6$$ and $$AB=10=BD$$. Then, find $$x$$.

In $$\triangle ADE, \angle D=90^{o}$$, find $$x$$.

The area of two similar triangles are $$200$$ and $$128$$, then the ratio of their corresponding altitude is __________

If $$\triangle ABC\sim \triangle DEF$$ and $$AB:DE=3:4$$, then the ratio of area of triangles taken in order is