Triangles Test ...

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

In the figure, $$DE\parallel BC$$ and $$\dfrac {AD}{BD} = \dfrac {3}{5}$$, calculate the value of $$\dfrac {area\ of\ \triangle ADE}{area\ of\ \triangle ABC}$$,

Triangles $$ABC$$ and $$DEF$$ are similar. If their areas are $$100\ cm^{2}$$ and $$49\ cm^{2}$$ respectively and $$BC$$ is $$8.2\ cm$$ then $$EF =$$

If the sides of two similar triangles are in the ratio $$2:3$$, then their areas are in the ratio

In the given figure, $$XY\parallel BC$$, then $$\cfrac { AX }{ BX } =$$

__________ triangles become always similar.

In the figure, $$\overline{XY} || BC$$
AX = 1 cm
XB = 3 cm
BC = 6 cm
then XY = ................

D, E and F are respectively mid points of sides $$\overline{AB}, \overline{BC}$$ and $$\overline{CA}$$ of $$\Delta ABC$$. Which of the following correspondence between $$\Delta ABC$$ and $$\Delta DEF$$ of similarity.

In $$\triangle ABC, \angle B=90^{o}$$. $$\square PQRS$$ is a square of side $$5$$ units and $$\square WJYZ$$ is a square of side $$10$$ units. $$MS$$ and $$SY$$ are the length and breadth respectively of rectangle $$MNSY$$. What is the length of $$MS$$ ?

A tree is broken at a height of $$5\ m$$ from the ground and its top touches the ground at a distance of $$12\ m$$ from the base of the tree. Find the original height of the tree.