In a triangle, if three altitudes are equal, then the triangle is 

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

PK is the median and M is a centroid of triangle PQR. If PK is 15 cm, then find length of PM?

ABC is an isosceles triangle such that AB = AC and ∠B = 35°. AD is the median to the base BC. Then ∠BAD is

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then.

Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of the four given responses is

The radii of two concentric circles are 17 cm and 25 cm. a straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 16 cm, then the length (in cm.) of PS is 

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is