Question

triangle rst is formed by connecting the midpoints of the side of triangle opq. the lengths of the sides of triangle rst are shown. what is the length of \overline{op}? figures not necessarily drawn to scale. answer attempt 1 out of 2 op = submit answer

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. In triangle \(OPQ\), \(TS\parallel OP\) and \(TS=\frac{1}{2}OP\) (by the mid - segment theorem).

Step2: Find the length of \(OP\)

Given that \(TS = 5\). Since \(TS=\frac{1}{2}OP\), we can solve for \(OP\) by the formula \(OP = 2\times TS\).

Substitute \(TS = 5\) into the formula: \(OP=2\times5\)

Answer:

\(10\)