AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT=75° and ∠BAC=45° and C being a point on the circle, then ∠ABC is equal to

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

In a given circle, the chord PQ is of length 18 cm. AB is the perpendicular bisector of PQ at M. If MB=3. Find the length of AB?

If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm,  then the length of the median to its greatest side is

if θ is acute angle and sin (θ+18⁰) = 1/2, then the value of θ in circular measure is :

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

If the circumcenter of the triangle lies outside it, then the triangle is