
The figure given below shows a circle with center O and radius 8 cm. BD is a chord of the circle and A is a point on the minor arc BD. C is a point on BD such that AC is perpendicular to BD. The length of AC is 4 cm and BC is 12 cm. What is the length (in cm) of CD?
Any idea how to do this?

How many scalene triangles exist if the side s are natural numbers less than 9?a)18b)19c)20d)21
Triangles when a = 2 are
2, 3, 4
2, 4, 5
2, 5, 6
2, 6, 7
2,7,8
Triangles when a = 3 are
3, 4, 5
3, 4, 6
3,4,8
3, 5, 6
3, 5, 7
3, 6, 7
3,6,8
Triangles when a = 4 are
4, 5, 6
4, 5, 7
4,5,8
4, 6, 7
4,6,8
Triangles when a = 5 are
5, 6, 7
5,6, 8
5,7,8
Triangles when a = 6 are
6, 7, 8


E is a point on the side AB of a rectangle ABCD, the adjacent sides of which are in the ratio 2 : 1. If ∠AED = ∠DEC, then what is the measure of ∠AED?

6. In the figure given below, ACBO is a parallelogram with O as centre of circle. Find the value of angle ACB.
plz spplve this ques for me:
FYI the ans given is ...........120

Triangle ABC, angle C = 50 deg, D is a point on BC and BD=AB, if angle CAD = 20 deg, find angle CBA (in deg). Please post explanations to the solution. Thanks

Triangle ABC, AB=3 units,BC = 4 units, BD is an altitude drawn with D lying on AC. Find AD. Please post explanations to the solution. Thanks

a circle circumscribes an equilateral triangle and is inscribed in another equilateral triangle.find the ration of the area of the bigger triangle to the smaller triangle.

In ΔABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of the area of ΔDOF to the area of ΔDOE?

In a parallelogram ABCD, P and Q are points on its side AD and CD respectively such that AP : PD =1:5 and CQ:QD =3:1.The segments BQ and PC meet at the point O. Find PO/OC.
Please explain method

21