In ` A B C ,` as semicircle is inscribed, which lies on the side `cdot` If `x` is the lengthof the angle bisector through angle `C ,` then prove that the radius of the semicircle is `xsin(C/2)dot`

In o+ABC, as semicircle is inscribed,which lies on the side c. If x is the lengthof the angle bisector through angle C, then prove that the radius of the semicircle is x sin((C)/(2))

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)

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

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

Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2< c^2, then prove that angle C is obtuse .

A semicircle is inscribed inside a rectangle in such a way, so that the diameter semicides with the length of the rectangle. If the area of the semicircle is 50pi , then what is area of the rectangle? (a)200 (b)175 (c)150 (d)125

In a triangle with sides a, b and c a semicircle touching the sides AC and CB is inscribed whose diameter lies on AB. Then , the radlus of the semicircle is:

Let a<=b<=c be the lengths of the sides of a triangle.If a^(2)+b^(2)

In a triangle with sides, a,b, and c a semicircle toughing the sides AC and CB is inscribed whose diameter lies on AB. Then the radius of the semicricel is

In an acute angled triangle A B C , a semicircle with radius r_a is constructed with its base on BC and tangent to the other two sides. r_b a n dr_c are defined similarly. If r is the radius of the incircle of triangle ABC then prove that 2/r=1/(r_a)+1/(r_b)+1/(r_c)dot