Question

In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find BC if AD = 8 cm and DH = 4 cm.

Answer 1

Answer:

AB=16 $\sqrt{3}$   AC =8$\sqrt{3}$  BC=24

Step-by-step explanation:

Answer 2

Check the picture below.

notice that the triangle ADH, since the segment AL is an angle bisector, meaning  it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.