# CAT Online Live Classes

Geometry - Tough

### Concepts discussed on March 24, 2018

#### Geometry - Tough

Welcome to the live session of Geometry. The concepts and questions discussed on March 24, 2018 during the live session follow the embedded video. The video link next to each concept will take you to the start of the part of the video where that specific concept is discussed. Click the video embedded below to watch the entire session.

#### Easy Questions

1. Find the altitude to the side AC of the triangle with side AB = 20cm, AC = 20cm, BC = 30cm.

2. #### Medium Questions

3. x, y, z are integer that are side of an obtuse - angled triangle. If xy = 4, find z.

4. Find the area of a trapezium with parallel sides of 40cms and 54cms and non-parallel sides of 13cms and 15cms.

5. ABCDE is a regular hexagon inscribed inside a circle. If the shortest diagonal of the hexagon is of length 3 units, what is the area of the shaded region?

6. Diagonals of a quadrilateral ABCD meet at O. Areas of △AOB, △BOC and △COD are 12 sq cms, 15 sq cms and 20 sq cms respectively. What is the area of the quadrilateral?

7. #### Tough Questions

8. An equilateral triangle is inscribed inside the square such that one side of the triangle is parallel to the diagonal and a vertex coincides with a vertex of the square. What is the ratio of the area of the equilateral triangle to that of the square?

9. What is the ratio of the longest diagonal to the shortest diagonal in a regular octagon?