Triangles Test ...

The areas of two similar triangles are $$16\ \text{cm}^2$$ and $$36\ \text{cm}^2$$ respectively. If the altitude of the first triangle is $$3\ \text{cm}$$, then the corresponding altitude of the other triangle is:

Pythagoras was a student of:

Area of a right-angled triangle is $$30 \,cm^2$$. If its smallest side $$5\, cm$$, then its hypotenuse is.

In Fig triangle MNO is a right-angled triangle. Its legs are $$6\, cm$$ and $$8\, cm$$ long. Length of perpendicular NP on the side MO is.

Thales belongs to the country:  

In $$ \triangle ABC\sim \triangle DEF$$,  BC $$ = $$ 4 cm, EF $$ =$$ 5 cm and area($$\triangle $$ABC)$$ = $$ 80 $$cm^2$$, the area($$\triangle$$ DEF) is:

The ratio of the areas of two similar triangles is equal to the _______ of the ratio of their corresponding sides.

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. $$\triangle ABE$$ is similar to $$\triangle CFB$$:

If in $$\Delta ABC$$ and $$\Delta DEF, \dfrac{AB}{DE}=\dfrac{BC}{FD},$$ then they will be similar if :

In $$\Delta ABC \sim  \Delta PQR$$, $$M$$ is the midpoint of $$BC$$ and $$N$$ is the midpoint of $$QR$$. The area of $$\Delta ABC =$$ $$100$$ sq. cm and the area of $$\Delta PQR =$$ $$144$$ sq. cm. If $$AM = 4$$ cm, then $$PN$$ is: