Triangles Test ...

A ladder $$10m$$ long reaches a window $$8m$$ above the ground. Find the distance of the foot of the ladder from base of the wall.

Which figure is formed by joining the mid points of the adjacent sides of a square?

State which pair of triangles in figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form:

In a $$\Delta$$ABC, if $$AB^2\, =\, BC^2\, +\, AC^2$$, then the right angle is at:

 If the two legs of a right angle triangle are equal and the square of the hypotenuse is $$100,$$ then the length of each leg is:

The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.

If triangles in figure are similar. Write the similarity criterion used by you for answering the question.

Sides of two similar triangles are in the ratio $$4:9$$. areas of these triangles are in the ratio

In the figure $$D\;$$and$$\;E$$ are the mid-points of sides $$AB\;$$and$$\;AC$$ respectively of $$\Delta ABC$$. Find $$\angle EDB.$$

If the ratio of the corresponding sides of the two similar triangles is 2 : 3, then the ratio of their corresponding altitudes is