Bisector of right angle bisector of right angle of a right-angled triangle divides the hypotenuse into 2

Bisector of right angle bisector of right angle of a right-angled triangle divides the hypotenuse into 2 equal parts and the length of the bisector is equal to half of the hypotenuse find the angles of this right-angled triangle.

If the bisector of a right angle in a right-angled triangle divides the hypotenuse in half and is equal to half the hypotenuse, then this is both the bisector and the median. Therefore, by condition, a right-angled isosceles triangle with lateral sides – legs and a base – a hypotenuse is given (since in an isosceles triangle, the median and bisector drawn to the base coincide). Then the angles at the base will be equal to 45 degrees ((180-90) / 2 = 90/2 = 45).
Answer: 45 degrees.