Question

If RS =
R
4x+6, ST = 17, and RT = 7x + 2, what is RT?
4x + 6
S
17

Answer 1

51

Explanation:

We must assume that points R, S, T are collinear.

Then it is clear that RS + ST = RT.

=> (4x + 6) + 17 = 7x + 2

=> 3x = 21

=> x = 7.

Thus |RT| = 7(7) + 2 = 51.