`AB` is the diameter of a semicircle `k, C` is an arbitrary point on the semicircle (other than `A` or `B`) and `S` is the centre of the circle inscribed into triangle `ABC,` then measure of-

AB is the diameter of a semicircle with length of radius 4 cm C is any point on the semicircle. If BC = 2sqrt7 cm then find the length of AC.

AB is a diameter of a circle and C is any point on the circle. Show that the area of Delta ABC is maximum, when it is isosceles.

AB is a diameter of a circle and C is any point on the cirle. Show that the area of triangle ABC is maximum, when it is isosceles.

Let XY be the diameter of a semicircle with centre O. Let A be a variable point on the semicircle and B another point on the semicircle such that AB is parallel to XY. The value of angleBOY for which the inradius of triangle AOB is maximum, is

angle ACB is an angle in the semicircle of diameter AB =5 and AC : BC = 3 : 4 The area of the triangle ABC is

If A(3,-4),B(7,2) are the ends of a diameter of a circle and C(3,2) is a point on the circle then the orthocentre of the Delta ABC is

angle ACB is an angle in the semicircle of diameter AB = 5 and AC : BC = 3:4. The area of the triangle ABC is

In Figure, C is the center of the semicircle, and the area of the semicircle is 8pi . What is the area of triangle ABC in terms of theta ?

In a ΔABC, a semicircle is inscribed, whose diameter lies on the side c. Then the radius of the semicircle is (Where Δ is the area of the triangle ABC)