Question

Given:
R, S, T are midpoints of AB, BC, and CA. If RS = 5, then AC =

Answer 1

If you are given midpoints R, S, T of AB, BC and CA then you will have a line like this

A----B----C
A--R--S--T--C

then if you have are given line RS = 5, ST, TC and AR are also 5 since they are midpoints of the line and thus you will have a whole length of 20.

Answer 2

AC= 10

Explanation:

Given: In ΔABC , R,S,T are the midpoints of AB, BC and CA

length of RS= 5

To find : length of AC

Solution: By mid segment theorem which state that

In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side and half of its length.

using this theorem , RS parallel to AC and

`RS= (1)/(2) AC`

`5= (1)/(2) AC`

`AC= 10`