If 3x + (1/3x) = 9 then find 27x³ + (1/27x³ ) =

If O is circumcentre of acute angled triangle ABC, if ∠  BAC = 70˚  then  ∠ BOC = ?

Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is

Let A, B, and C be the mid-points of sides PQ, and QR PR, respectively, of ΔPQR. If the area of ΔPQR is 64cm², then find the area of ΔABC.

The length of the each side of an equilateral triangle is 28√3. The area of incircle, (cm ² ) is

∆ 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

In ∆ABC , G is the centroid , AB = 6 cm, BC= 8 cm and AC = 10 cm , find GD, where D is the mid-point of BC?

In a regular polygon, the ratio of the exterior angle to the interior angle is 4:5. Find the interior angle of the polygon.

PQRS is a cyclic quadrilateral of which PQ is the diameter. Diagonals PR and QS intersect at A. If SQR = 25°, then angle PAS measures