Question

value: 10
find the length of the segment indicated. round to the nearest tenth if necessary.
sorry, incorrect answer.
points scored this item: 0

Explanation:

Step1: Apply Pythagorean theorem

In the right - triangle formed, the hypotenuse of the right - triangle is the radius of the circle equal to 5, and one leg is 3. Let the other leg of the right - triangle be \(y\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 5\) and \(a = 3\), then \(y=\sqrt{5^{2}-3^{2}}\).
\[y=\sqrt{25 - 9}=\sqrt{16}=4\]

Step2: Find the value of \(x\)

Since the radius of the circle is 5, and we know the part of the radius within the right - triangle is 4, then \(x = 5+4\)
\[x=9\]

Answer:

9