Question

use the triangle shown to answer the question. what is the length of $overline{pq}$? a. 8 b. 9 c. 10 d. 14

Explanation:

Step1: Identify coordinates

Let \(P=(2,1)\) and \(Q=(10,7)\).

Step2: Apply distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

\(d_{PQ}=\sqrt{(10 - 2)^2+(7 - 1)^2}=\sqrt{8^2+6^2}\)

Step3: Calculate the squares

\(\sqrt{64 + 36}=\sqrt{100}\)

Step4: Find the square - root

\(\sqrt{100}=10\)

Answer:

C. 10