Triangle

 

Right Angled Triangle

 

Triangle

 

Triangle and Circle

 

Rectangle and Circles

In the given figure ABCD is a rectangle. E is point on AB such that incircle of triangle EBC touches EB, BC, and EC at point M, N and P respectively. OM = 2 cm . Bigger Circle touches AE, EC, DC and AD at points R, S, U and T respectively. G and F are two points on AD and H is a point on DC. EF and GH intersects at point Q, such that angle GQE is 90 degree. AE = AF.

What is the area of the rectangle? 

Semicircle

In the given figure, AC is the diameter of the semicircle with center O. B is a point on the semicircle such that area of the triangle ABC is 24 sq.cm . Incircle of triangle ABC touches AC at point D. DO = 1 cm .

What is the area of the Incircle ?

 

Triangle and Circles

 

In the given figure, ABC is a right angle triangle, right angle at B, BD is perpendicular to AC. MNP is incircle of triangle ABC touches AC at M. O is the center of the incircle. Inradius OM = 15 cm .  AC is tangent to the bigger circle at point D and the center is at B. Bigger circle intersects AB at point E and BC at point F.  FC = 9 cm and AE = 24 cm .

What is the area of the triangle ABC ?