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The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?

In ∆ABC , G is the centroid , AB = 5 cm, BC= 8 cm and AC = 7 cm , find GD, where D is the mid-point of BC?

If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 8 cm, BC = 10 cm then what is BD:CD?

The length of the each side of an equilateral triangle is 42√3 cm . The area of circumcircle, (cm ² ) is

The radius of the incircle of a triangle is 3 cm. if the area of the triangle is 12 cm ² , then its perimeter is?

The radius of a circle is 13 cm, and the length of the chord is 10 cm. Find the distance between the chord and the centre of the circle.  

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

In the figure BD = CD = AC, ∠ ABC = 27 ° , ∠ ACD = y. Find value of x.

If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 30⁰ then ∠BAC = ?

In ∆ABC , G is the centroid , AB = 5 cm, BC= 6 cm and AC = 7 cm , find GD, where D is the mid-point of BC?