A state in India has the following characteristics:

The radius of the incircle of a triangle is 10 cm. if the area of the triangle is 60 cm ² , then its perimeter is?

Find out the circumference of a sector whose radius is 7 cm and it makes the angle of 45° at the centre?

If angle between two sides of 3 cm & 2 cm of a triangle is 30°. what is the area of the triangle ?

If in a right angle triangle ABC, Angle B is a right angle. AB = 8 cm, BC= 15cm if BD is perpendicular to AC find the length of BD? 

If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 78 cm ² , then the area of ∆BGF is?

What will be inradius of a right angle triangle whose base is 13 cm & height is 84 cm ?

In Fig. if QT ⊥ PR, ∠ TQR = 40 ° and ∠ SPR = 30 ° , find x and y.        

If angle between two sides of 4 cm & 5 cm of a triangle is 30°. what is the area of the triangle ?

Determine the measure of ∠SQT in the following figure given that ST = QT.