The circle drawn with hypotenuse of a right angled triangle as diamter passes through the __________

If the circle drawn with hypotense of a right angles triabngle as diameter. Then the circle passes through the three vertices of the triangle.

A circle touches the hypotenuse of a right angled triangle at its midle point and passes through the middle point of shorter side.If 3 unit and 4 unit be the length of the sides and 'r be the radius of the circle,then find the value of 3r

A circle touches the hypotenuse of a right angled triangle at its middle point and passes through the mid-point of the shorter side. If a and b (altb) be the lengths of the sides, then prove that the radius of the circle is b/(4a) sqrt(a^2 + b^2)

A circle touches the hypotenuse of a right angled triangle at its middle point and passes through the mid-point of the shorter side. If a and b (altb) be the lengths of the sides, then prove that the radius of the circle is b/4a sqrt(a^2 + b^2)

Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle

Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle

Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides of the triangle.