Respuesta :

Answer

Find out the SA .

To proof

As given

Points A and B are midpoints

Midpoints

Midpoints are the points which divided a line  into two equal parts .

A and B are midpoints  of QS and RS i.e A and B are divided  QS and RS in two equal parts .

Thus

QA = AS

as given

QA = 4 m ( as shown in the diagram )

Therefore

QA = AS = 4 m

option (c) is correct .

Hence proved

You can use the fact that points A and B are midpoints of the sides of triangle QRS.

The length of SA is given by

Option C: 4m

How does midpoint means for a given side?

Midpoint of a side is the point which is in the middle of that side where it lies. Thus, it will divide that side in two equal length parts.

Using the above fact to get the measure of missing side SA:
Since it is given that point A and B are midpoints of the sides of triangle QRS.

Thus, we have:

|SB| = |BR|

|SA| =  |AQ|

where |AB| means length of line segment AB

Thus, we have, length of SA = length of AQ

Thus,

|SA| + |AQ| = 4 m (as given in figure)


Thus,

The length of SA is given by

Option C: 4m

Learn more about triangles and midpoints here:

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