In triangle ABC, F is the centroid. If AB=11 cm, BC=14 cm and AC=7 cm, then what is the value (in cm) of EF?

ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the following is true?

Given that (a²+b²)=60, then find the value of (a+b)²+(a–b)².

An arc of 30 ° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its center is 

In ∆ABC, AC = BC and ∠BAC = 40°. If BC is extended to D such that BC = CD, find out ∠ADC = ?

Two circles intersect at A and B, P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is 

In the given figure, ∠QRU = 72°, ∠TRS = 15° and ∠PSR = 95°, then what is the value (in degrees) of ∠PQR ?

∠A, ∠B, ∠C are three angles of a triangle. If ∠A -∠B =18°, ∠B – ∠C = 45°, then, ∠B, ∠A and ∠C are