What will come in the place of question mark?

If I is the incentre of ΔABC , if  ∠ BAC = 75⁰ , then what is the measure of  ∠ BIC?

The radius of a circle is 10 cm, and the length of the chord is 12 cm. Find the distance between the chord and the centre of the circle.  

The lengths of three medians in a triangles are 21 cm, 28 cm, 35 cm. What is the area of that traingle (in cm ² )?

In a triangle ABC, AB = 13 cm, BC = 14 cm, and AC = 15 cm. Find the area of the triangle and the length of the altitude from vertex A to side BC.

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

The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 7:5, then the value of the ∠C is

If the area of a regular hexagon is 384√3 cm², then find the perimeter of the same hexagon.

In the given Figure, Find  angle BCD. If AB is a diameter & AB is parallel to CD.