Question

name quiz 1 review leave your answer in simplified radical form. b) 5 13 what is the shortest distance, to 5 miles west. draw a picture and show all work. rting point.

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), the formula is \(a^{2}+b^{2}=c^{2}\). Here, the legs are 5 and 13, and we want to find the hypotenuse \(x\). So, \(x^{2}=5^{2}+13^{2}\).

Step2: Calculate the squares

\(5^{2}=25\) and \(13^{2}=169\). Then \(x^{2}=25 + 169=194\).

Step3: Solve for \(x\)

Taking the square root of both sides, \(x=\sqrt{194}\).

Answer:

\(\sqrt{194}\)