## Geometry problems on triangles

The lengths of the three sides in a triangle are 4, 7 and 10. A line L divides the angle opposite which the side length is 10. Find the ratio of the lengths of the segments formed along the opposite side.

## Geometry problems on circles

The areas of two circles are in the ratio 49: 25. Find the ratio of their diameters?

## Geometry problems on 2d shapes

In an irregular quadrilateral, two sides have lengths 10 each, and the other two sides have lengths 10 each.

Among the three types of angles – acute, right and obtuse, find the type of the angle formed between the two sides whose lengths are 10 each.

## Geometry problems on 3d shapes

A colorer cube is cut into 125 small cubes. How many of the small cubes so formed do not have color on any of their faces?

**Write the complementary angles of the following angles measured in degrees.**

1.300 2. 400 3. 600 4.800. For what degree measure of an angle, is its complement same as itself? Add the degree measures of the following two angles: 60065′75′′ and 55082′73′′.