Some question and their alternative answer are given. Select the correct alternative. Altitude on the hypotenuse of a right angled triangle divides it in two parts of lengths 4 cm and 9 cm. Find the length of the altitude.

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KollegeApply · Accepted Answer

We know that, In a right angled triangle, the perpendicular segment to the hypotenuse from the opposite vertex, is the geometric mean of the segments into which the hypotenuse is divided. \therefore {AD}^2 = CD $\times$ DB = 4 $\times$ 9 = 36 \Rightarrow AD = 6 cm Hence, the correct option is 6 cm.

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