Question

leanna is designing a court for a new sport that is played on a triangle - shaped court. the first side of the court measures 12 feet, while the second side of the court measures 9 feet, as shown below. what is the length of the third side of the court? round your answer to two decimal places. draw 9 ft 12 ft show your work here hint: to add the square root symbol (√), type
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Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 9\), \(b=12\), and \(c\) is the hypotenuse (the third side).

Step2: Substitute values

$$9^{2}+12^{2}=c^{2}$$
$$81 + 144=c^{2}$$
$$225=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{225}$$
$$c = 15.00$$

Answer:

\(15.00\) feet