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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

User Lexx
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2 Answers

2 votes

Answer:

4m

Explanation:

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User Paul Richards
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4.7k points
3 votes

Answer: 4m

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

Points A and B are midpoints of the sides of triangle QRS. Triangle Q R S is cut by-example-1
User Kjgilla
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4.7k points