More such mutually beneficial tie-ups between

If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 10 cm, BC = 12 cm then what is BD:CD?

In a rectangle, length : breadth = 4 : 3. What is the value of length : diagonal?

In a parallelogram, two adjacent angles are (3x + 10)° and (x + 30)°. Find the larger angle.

In the given figure PQRS is a square and OQR is an equilateral triangle, then find angle POS?

In a given Figure, ON ∥ QR and MN ∥ OR.

Angles of a triangle are in the ratio 3 : 4 : 5. Find the sum of the largest and smallest angle of the triangle.

If I is the incentre of ΔABC , if  ∠ BAC = 65⁰ , then what is the measure of  ∠ BIC?

If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 42 cm ² , then the area of ∆BGD is?