If the area of a right-angled triangle is 12 cm2, and the hypotenuse = 6 cm, then the height drawn to the hypotenuse is?

The area of a triangle is defined as half the product of the length of a side by the length of the height drawn to that side, i.e. S = a * h / 2. From here we can find the height h: h = 2 * S / a. Substituting the values of the area and sides given by the condition of the problem, we find the height: h = 2 * 12/6 = 24/6 = 4 cm.

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