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In triangle ABC, the sides are AB = 13 cm, BC = 14 cm, and CA = 15 cm. What is the length of the altitude from vertex A to side BC?

The radius of a circle is 25 cm, and the length of the chord is 14 cm. Find the distance between the chord and the centre of the circle.  

ABCD is a square. P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP = BQ = CR = DS. Angle  SPQ equal to ?

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

If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 78 cm ² , then the area of ∆BGF is?

The area of a field in the shape of a hexagon is 2400 √ 3 m²  ? What will be the cost of fencing it at ₹18.50 per metre?

If O is circumcentre of acute angled triangle ABC, if ∠  BAC = 40 ˚  then  ∠ BOC = ?

In triangle GHI, a point J lies on side HI such that ∠GJH = ∠GJI. If GH = 50 cm, GI = 30 cm, and HI = 40 cm, find the length of HJ.