In a right-angled triangle ABC with legs 15 cm and 20 cm, hypotenuse 25 cm. Find the height drawn in the hypotenuse.

First, we find the area of the triangle ABC through the height AB = 20 cm and the base AC = 15 cm
S = 1/2 * 15 * 20 = 150 cm square
Now we find the area through the height AH = x and the base BC = 25cm
Since we know the area, we substitute it into the formula
150 = 1/2 * 25 * x = 2 * 150/25 = x
300/25 = x
x = 12 cm
Answer: 12 centimeters.