Question

85 km
77 km
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = kilometers

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is hypotenuse, \(a\) and \(b\) are legs. Here, \(c = 85\), \(a = 77\), solve for \(b\):
\(b^2 = c^2 - a^2 = 85^2 - 77^2\)

Step2: Calculate squares

\(85^2 = 7225\), \(77^2 = 5929\)

Step3: Subtract and take square root

\(b^2 = 7225 - 5929 = 1296\)
\(b = \sqrt{1296} = 36\)

Answer:

36