Question

1. what is the length of the missing leg? if necessary, rou a = kilometers 9. the sides of a triangle have lengths 18, 14, and 26. w acute right

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here \(b = 18\) km, \(c=30\) km. We need to find \(a\).
So, \(a^{2}=c^{2}-b^{2}\)

Step2: Substitute values

\(a^{2}=30^{2}-18^{2}\)
\(a^{2}=900 - 324\)
\(a^{2}=576\)

Step3: Solve for \(a\)

Take the square root of both sides. Since \(a>0\) (length), \(a=\sqrt{576}\)
\(a = 24\)

Answer:

\(24\) kilometers