Learn UNIT IV: Geometry with Free Lessons & Tips

To construct a triangle

To construct the tangents from point

Given : : solution ::

To find the ratio of the areas of

Since △ABC and △LMN are similar triangles, their corresponding sides are in proportion.

Let kk be the ratio of similarity between the two triangles.

Given:

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

Let's denote the center of the circle as O, and the points of contact of the two parallel tangents as P and Q. The two tangents are parallel, so OP and OQ are parallel as well.

In the given scenario, let's denote:

Let's denote:::: the above question

Since the chord of the larger circle touches the smaller circle and the circles are concentric, the chord is the same as the diameter of the smaller circle.