The sides ab and bc of the triangle abc are 8 cm and 4.8 cm, respectively, and the height to side

The sides ab and bc of the triangle abc are 8 cm and 4.8 cm, respectively, and the height to side ab is 6 cm. Find the height to side bc.

Let us determine how many square centimeters the area of our triangle will equal, if from the condition of this task we know that the height drawn to the side ab is six centimeters, and this side itself is eight centimeters:

1/2 * 6 * 8 = 24.

Let us determine through what number of centimeters we can express the length of the height drawn to the side be, when we know from the condition of the task that the side itself is 4.8 cm:

24 * 2: 4.8 = 10.

Answer: The height to bc is 10 cm.