If a circle is inscribed in right angled triangle ABC with right angle at B, show that the diameter of the circle is equal to `AB+BC-AC.`

If a DeltaABC is right angled at B, then the diameter of the incircle of the triangle is

ABC is a isosceles right angled triangle, right angled at C. prove that AB^(2) = 2AC^(2)

ABC is a right angle triangle right angled at A. A circle is inscribed in it the length of the two sidescontaining right angle are 6 cm and 8 cm then the radius of the circle is

The given figure shows a circle (with centreO) inscribed in a right - angled triangle ABC with angle B = 90 ^(@) , AB = 8 cm and BC = 6 cm Find. (i) the radius of the circle. (ii) the area of the shaded portion i.e. portion enclosed between the circle and the triangle .

In a right angled triangle A B C , right angled at B ,\ B C=12 c m and A B=5c m . The radius of the circle inscribed in the triangle (in cm) is :

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right-angled triangle whose radius of the circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. Area of Delta ABC is

In a right-angled triangle ABC, right angled at B, an altitude BD is dropped on AC. If AB=8 and BC=6, what is the length of AD?

The given figure shows a right triangle right angled at B . If angle BCA = 2 angle BAC, show that AC = 2BC

If AOB is a diameter of the circle and AC=BC, then angle CAB is equal to

In triangle ABC, angle B is right angled, AC=2 and A(2,2), B(1,3) then the length of the median AD is