Question

8 m, 4 m, b, what is the length of the missing leg? if necessary, round to the nearest tenth. b = meters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is hypotenuse, \( a = 4 \), \( c = 8 \). So \( 4^2 + b^2 = 8^2 \).

Step2: Solve for \( b^2 \)

\( 16 + b^2 = 64 \), subtract 16: \( b^2 = 64 - 16 = 48 \).

Step3: Find \( b \)

\( b = \sqrt{48} \approx 6.9 \) (rounded to nearest tenth).

Answer:

\( 6.9 \)