Given the figure below, S is the midpoint of R T ‾ RT . Find the value of RS.

Question

Given the figure below, S is the midpoint of RT‾RT . Find the value of RS.

Answer 1

If S is the midpoint of RT then RT is twice the length of RS, to put this in an equation you have

13x + 8 = 2 (6x + 5)

13x + 8 = 12x + 10

x = 2

To find the length of RS, substitute 2 for x and find 6x + 5.