Points A and B are midpoints of the sides of triangle QRS. Triangle Q R S is cut by line segment A B. Point A is the midpoint of
side Q S and point B is the midpoint of side R S. The length of Q R is 6 meters, the length of Q A is 4 meters, the length of A B is 3 meters, and the length of R B is 3 meters. What is SA? 2 m 3 m 4 m 6 m
2 answers:
Answer: 4m
Step-by-step explanation:
Note : midpoints divide a line into two equal parts.
To calculate the length of SA;
We can consider the large triangle QRS with
Two midpoints :
A on the line QS, QA = 4m ;
and B on the line RS with RB = 3m
Fron the definition of midpoint :
QS = QA + AS
where QA = AS
QS = 2QA = 2AS
Therefore,
QA = QS
4m = 4m
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