In a triangle ABC, right angled at A, on the leg AC as diameter, semicircle is described. If a chord joins A with the point of intersection D of the hypotenuse and the semicircle, then the length of AC equals to

In triangle ABC, right angled at C, (tanA+tanB) equal to

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

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

In a triangle ABC, right angled at A. The radius of the inscribed circle is 2cm. Radius of the circle touching the side BC and also sides AB and AC produced is 15cm. The length of the side BC measured in cm is a, then 9a/13 is........

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.

In a right triangle ABC, a circle with a side. AB as diameter is drawn to intersect the hypotenuse AC in P. Prove that the tangent to the circle at P bisects the side BC.

PQ is a diameter of a circle and AB is such a chord of it that it is perpendicular to PQ . If C be the point of intersection of PQ and AB , then prove that PC.QC=AC.BC .

Adhir has drawn a right-angled triangle whose length of hypotenuse is 6 cm more than the twice of the shortest side. If the length of the third side is 2 cm less than the length of the hypotenuse, then calculate the lengths of the three sides of the right-angled triangle drawn by Adhir.