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8 yd. 7 yd. what is the length of the missing leg? if necessary, rou a …

Question

8 yd.
7 yd.
what is the length of the missing leg? if necessary, rou
a = yards
save answer

Explanation:

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)

Answer:

\( \approx 3.87 \) (or \( \sqrt{15} \) if exact)