In the diagram below of triangle npq, r is a midpoint of np and s is a midpoint of pq. if rs = 47 - 5x, and nq = 5x - 11, what is the measure of rs?

Therefore the measure of RS is 12 unit.

Step-by-step explanation:

Given:

In ΔNPQ,

R is a midpoint of NP and

S is a midpoint of PQ.  

RS = 47 - 5x, and NQ = 5x - 11

To Find:

RS = ?

Solution:

Mid Point Theorem:

The line segment joining the midpoints of two sides of a triangle is parallel to the third side and is equal to one half of the third side.

Here ,R is a midpoint of NP and

          S is a midpoint of PQ.  

∴

Substituting the values we get

Now Substituting ' x ' in RS we get

Therefore the measure of RS is 12 unit.

step-by-step explanation:

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