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MAC 1105 Pre-Class Assignment: Pythagorean Theorem and Distance formulaRead section 2.8 ‘Distance and Midpoint Formulas; Circles’ and 4.5 ‘Exponential Growth and Decay; Modeling Data’ toprepare for classIn this week’s pre-requisite module, we covered the topics completing the square, evaluating radicals andpercent increase. These are crucial skills needed for the conversation that we will be having this week aboutcircles, distance formula and exponential modelling.When given a right triangle with sides a and b and hypotenuse c, the Pythagorean Theorem tells us thata2+b2=c2.So, if you are given any two sides of a right triangle, you can always find the third side.1)Given a right triangle with legs 9 and 12, what is the length of the hypotenuse?It helps to draw apicture.
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2)Given a right triangle with leg 6 and hypotenuse 9, find the length of the missing side.Remember toalways simplify your radicals.