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Question
8 yd.
7 yd.
what is the length of the missing leg? if necessary, rou
a = yards
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Step1: Apply Pythagorean theorem
For a right triangle, \( c^2 = a^2 + b^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Here, \( c = 8 \), \( b = 7 \), solve for \( a \): \( a^2 = c^2 - b^2 \)
\( a^2 = 8^2 - 7^2 = 64 - 49 = 15 \)
Step2: Take square root
\( a = \sqrt{15} \approx 3.87 \) (rounded to two decimal places)
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\( \approx 3.87 \) (or \( \sqrt{15} \) if exact)