In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is

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

For an equilateral triangle, the ratio of the in-radius and the outer- radius is

The two vowels touch each other internally. Their radii are 2 cm and 3 cm. What will be the length of the largest chord of the bigger circle outside the inner circle?

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

The diameter of the circle with center O is AB. PQ is the chord that does not intersect AB. Join AP and BQ. If ∠BAP = ∠ABQ,  then what will be ABQP?

In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?