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max2010maxim [7]
3 years ago
13

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

the missing leg length is 2√70.

Step-by-step explanation:

This is a right triangle in which the hypotenuse is 19 ft and one of the legs is 9 ft.  Using the Pythagorean Theorem, we find the length of the other leg:

x^2 = (19 ft)^2 - (9 ft)^2 = 361 - 81 = 280, or 4*70

Then the missing leg length is √4√70, or 2√70.

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