In a triangle `ABC`, right angled at `A` ,the altitude through `A` and internal bisector of `/_A` have lengths 3 and 4 respectively. Find the length of median through A.

In a triangle ABC, right-angled at B, side BC = 20 cm and angle A= 30°. Find the length of AB.

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?

In any triangle ABC, if the angle bisector of /_A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.

A B C is a triangle in which /_A=72^0 , the internal bisectors of angles B and C meet in O . Find the magnitude of /_B O Cdot

In a triangle ABC, if A is (1, 2) and the equations of the medians through B and c are x+ y= 5 and x= 4 respectively then B must be:

In figure,a right triangle ABC,circumscribes a circle of radius r.If AB and BC are of length 8 cm and 6 cm respectively, find the value of r.

In figure,a right triangle ABC,circumscribes a circle of radius r.If AB and BC are of length 8 cm and 6 cm respectively, find the value of r.

In figure,a right triangle ABC,circumscribes a circle of radius r.If AB and BC are of length 8 cm and 6 cm respectively, find the value of r.

ABC is any triagnel inscribed in the circle x^(2)+y^(2)=r^(2) such that A is fixed point . If the external and internal bisectors of /_A intersect the circle at D and E, respectively, then which of the following statements is true Delta ADE ?

In the given figure , ABC is a right triangle, right angled at B. Medians AD and CE are of respective length 5 cm and 2sqrt5 cm . Find the length of AC.