In a right-angled triangle ABC, angle C is a straight line, the height CH divides the hypotenuse

In a right-angled triangle ABC, angle C is a straight line, the height CH divides the hypotenuse into lengths 5 and 20. Find the height CH.

Since the height CD is drawn from the top of the right angle, its length is equal to the square root of the product of the lengths of the segments into which it divides the base AB.
CD = √ (AD * BD) = √ (5 * 20) = √100 = 10 cm.



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