In Gilford Motor Co. v. Horne, the veil was lifted

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

If I is the incentre of ΔABC , if  ∠ BAC = 30⁰ , then what is the measure of  ∠ BIC?

If in a ΔABC, D is a point on BC such that BD = 5cm , BC = 9 cm then what is ratio of area of ΔABD to area of ΔADC ?

In ∆ABC , G is the centroid , AB = 12 cm, BC= 16 cm and AC = 20 cm , find GD, where D is the mid-point of BC?

If in a right angle triangle ABC, Angle B is a right angle. AB = 8 cm, BC= 15cm if BD is perpendicular to AC find the length of BD? 

The perimeter of a rectangle is 100 m, and its diagonal is 41 m. Find the area of the rectangle.

If O is the orthocentre of ΔABC , if ∠ BOC = 100⁰ then what is the measure of  ∠ BAC?

∆ ABC is similar to ∆ DEF. If area of ∆ABC is 9 sq.cm and area of ∆DEF is 16 sq.cm and BC = 2.1 cm. Then the length of EF will be