Triangles Test ...

Area of similar triangles are in the ratio $$25:36$$ then ratio of their similar sides is _________?

In $$\Delta PQR$$, $$XY\parallel QR$$ and $$\dfrac { PX }{ XQ } =\dfrac { 2 }{ 3 }$$ $$PY=4\ cm$$ then $$YR=$$ ?

In the given figure
 $$OA \times OB = OC \times OD,$$ then which of the following is correct.

In the adjoining figure, $$PQ\bot BC,AD\bot BC,PQ=4,AD=6$$

The area of two similar triangles are $$16\ cm^{2}$$ and $$36\ cm^{2}$$ respectively, If the altitudes are in the ratio $$2:x$$, then the value of $$x$$ is

The triangle $$\Delta$$ ABC is such that AB=9 cm, BC=6 cm, AC=7.5 cm. Triangle DEF is similar to $$\Delta ABC$$. If  EF=12 cm then DE is :

Two trees $$7 \,m$$ and $$4 \,m$$ high stand upright on a ground. If their bases (roots) are $$4 \,m$$ apart, then the distance between their tops is

In figure, $$PQ\bot RQ,\quad PQ=5cm,\quad QR=5cm$$
Then $$\triangle PQR$$ is

Tick the correct answer and justify:
Sides of two similar triangles are in the ratio $$4 : 9.$$ Areas of these triangles are in the ratio :

If straight line is drawn parallel to one side of a triangle then it divides the other two sides proportionally is called.