Triangles Test ...

Given two similar triangles one of which has twice the perimeter of the other, by what factor is the area of the larger triangle bigger than the smaller ?

In the given figure, PA, OB and RC are each perpendicular to AC. Which of the relations hold true?

In the following figure $$\Delta ABC \sim \Delta APQ\ \ \ ,A(\Delta APQ) = 4A(\Delta ABC)$$. Find the ratio $$\displaystyle \dfrac{BC}{PQ}$$

In $$\Delta ABC,$$ $$D,$$ $$E$$ and $$F$$ are the mid points of the sides $$BC,\ CA$$ and $$AB$$ respectively. The area of $$\triangle ABC$$ is $$24\ cm^2,$$ then the area of $$\triangle DEF$$ is

If the ratio of the corresponding sides of two similar triangles is $$2:3$$ then the ratio of their corresponding altitude is

Two poles of height $$10$$ m and $$15$$ m, stand on a plane ground. If the distance between their feet is $$12$$m, the distance between their tops is:

Two isosceles triangles have equal vertical angles and their areas are in the ratio of 9 : 16. Then their heights are in the ratio of:

P and Q are the mid points of the sides AB and BC respectively of the triangle ABC, right-angled at B, then:

If two triangles are similar then, ratio of corresponding sides are:

In a $$\triangle ABC$$, a straight line parallel to $$BC$$ intersects $$AB$$ and $$AC$$ at point D and E respectively. If the area of $$\triangle ADE$$ is one-fifth of the area of $$\triangle ABC$$ and $$BC = 10$$ cm, then DE equals: