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t.3 pythagorean theorem: find the missing leg or hypotenuse l... what i…

Question

t.3 pythagorean theorem: find the missing leg or hypotenuse l...
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = miles

Explanation:

Step1: Apply Pythagorean theorem

$$c^2=a^2 + b^2$$
Here \(a = 12\) and \(b=9\). So \(c^2=12^2+9^2\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(12^{2}=144\), \(9^{2}=81\). Then \(c^{2}=144 + 81=225\).

Step3: Solve for \(c\)

Take the square root of both sides. \(c=\sqrt{225}\).

Answer:

\(15\)