<p>You deliver pizza to an insurance office and an apartment complex (see figure

Question

<p>You deliver pizza to an insurance office and an apartment complex (see figure). Your total milage in driving to the aparmant complex and isurance office is 12 miles. By using a direct route, you are able to drive just 9 miles back to the pizza shop. Estimate the distance from the insurance office to the pizza shop.<img src="https://s3.amazonaws.com/answer-board-image/0d61129b-6242-4678-9281-2c85614cb99a.jpg" alt="image from custom entry tool" /></p>
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Explanation / Answer

a+c=12 -> a = 12-c ~ (1)
b=9 ~(2)

assuming that the triangle is 90 degrees(because no angles were provided which prevents the use of cos and sine rules) we use pythogarous theorem : a2+b2=c2~(3)

find c

subsituting (1) and (2) into (3)

(12-c)2+92=c2 we get c = 75/8

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