In triangle ABC C = 90 CE-height AE = 16 CE = 12 find BE AC BC AB.

1. Calculate the length of the segment BE. To do this, we use the formula for calculating the CE height:

CE = √AE x BE.

2. We square both parts of this formula:

CE² = AE x BE.

BE = CE² / AE = 12² / 16 = 144/16 = 9 units.

3. AB = 9 + 16 = 25 units of measurement.

4. BC = √BE² + CE² = √9² + 12² = √81 + 144 = √225 = 15 units.

5. AC = √AE² + CE² = √16 + 12² = √256 + 144 = √400 = 20 units.

Answer: BE = 9 units, AB = 25 units, AC = 20 units,

BC = 15 units