In ΔABC, If Median is half of the base. Then the median bisects the angle A which is always 90° Theorem : Median Angle property = The median of a triangle is a line drawn from one of the vertices to the mid-point of the opposite side. In the case of a right triangle, the median to the hypotenuse has the property that its length is equal to half the length of the hypotenuse. ∴ ∠BAC = 90°