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10-06-2020
Mathematics

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The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 4 and 12. Find the length of the shorter leg of the right triangle.

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10-06-2020

Answer:

8 units.

Step-by-step explanation:

The smaller of the right triangles formed is similar to the whole triangle so

4/x = x/16 where x = the shorter leg

x^2 = 64

x = 8.

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