Question

Use the figure below to complete the following problem.Given:R, S, Tare midpoints of AC, AB, and CB.SRСBAB=2AC2RTO2RS

Answer 1

First we need to remember that:

In general, a midsegment of a triangle is a line segment which joins the midpoints of two sides of the triangle. It is parallel to the third side and has a length equal to half the length of the third side.

This means that RT has to be half of AB, then:

`RT=(1)/(2)AB`

Solving for AB we have:

`AB=2RT`