If a,b and c are sides of a ritht triangle where c is the hypotenuse, prove that the radius of the circle which touches the sides of the triangle is `r = (a + b-c)/(2).`

If a,b,c are the sides of a right triangle , where c is the hypotenuse. Prove that the radius r of the circle which touches the sides of the triangle is given by: r=(a+b-c)/2

A B C and A D C are two right triangles with common hypotenuse A Cdot Prove that /_C A D=/_C B Ddot

A B C and A D C are two right triangles with common hypotenuse A Cdot Prove that /_C A D=/_C B Ddot

A B C and A D C are two right triangles with common hypotenuse A Cdot Prove that /_C A D=/_C B Ddot

Draw a right triangle whose hypotenuse is of length 4\ c m and one side is of length 2. 5\ c mdot

D E F is the triangle formed by joining the points of contact of the incircle with the sides of the triangle A B C ,\ prove that its sides are 2rcosA/2,\ 2rcosB/2\ a n d\ 2rcosC/2 where r is the radius of incircle of A B Cdot its angles are pi/2-A/2,pi/2-B/2a n dpi/2-C/2 its area is (r^2s)/(2R) where ' s ' is the semiperimter and R is the circumradius of the A B C .

(c) 103 (d) 10 18. A circle is inscribed in an equilateral triangle with side lengths 6 unit. Another circle is drawn inside the triangle (but outside the first circle), tangent to the first circle and two of the sides of the triangle. The radius of the smaller circle is (b) 2/3 (a) 1/ root3 (c) 2 (d) 1

If in a triangle A B C ,cosA+2cosB+cosC=2 prove that the sides of the triangle are in AP

a, b and c are the integral sides of a right angled triangle in which c is the hypotenuse measuring 3sqrt5 metres. If side 'a' is increased by (400)/(3)% and side 'b' is increased by (50)/(3)% , then their total becomes 14 metres. Find the area of triangle.

If A B C is an isosceles triangle with A B=A C . Prove that the perpendiculars from the vertices B and C to their opposite sides are equal.