Question

Help!!! i don’t understand how i would be able to find rt

Answer 1

Given:

M is the mid-point of RS

N is the mid-point of ST

MN = 18.4

To find:

The length of RT.

Solution:

The reference image is attached below.

Joining mid-point M and N, we get mid-segment MN.

MN is parallel to RT.

Triangle mid-segment theorem:

If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.

$\Rightarrow MN=\frac{1}{2} RT$

Substitute MN = 18.4

$\Rightarrow 18.4 =\frac{1}{2} RT$

Multiply by 2 on both sides.

$\Rightarrow 2\times 18.4 =2\times \frac{1}{2} RT$

$\Rightarrow 36.8=RT$

The length of RT is 36.8.