Question

9 km3 kmbwhat is the length of the missing leg? if necessary, round to the nearest tenth.b = kilometerssubmit

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Here, \( c = 9 \), \( a = 3 \), solve for \( b \).
\( b^2 = c^2 - a^2 \)

Step2: Substitute values

\( b^2 = 9^2 - 3^2 = 81 - 9 = 72 \)

Step3: Solve for \( b \)

\( b = \sqrt{72} \approx 8.5 \) (rounded to nearest tenth)

Answer:

\( 8.5 \)