points a and b are midpoints of the sides of triangle qrs. what is sa? 2 m 3 m 4 m 6 m
points a and b are midpoints of the sides of triangle qrs. what is sa? 2 m 3 m 4 m 6 m
Answer
Explanation:
Step1: Apply mid - point theorem
In a triangle, if a line segment joins the mid - points of two sides of a triangle, then the line segment is parallel to the third side and half its length. Since A and B are mid - points of the sides of triangle QRS, we know that AB is parallel to QS and AB=\frac{1}{2}QS. Also, we can consider similar triangles. Triangle RAB and triangle RQS are similar. The ratio of their sides is 1:2.
Step2: Analyze side lengths
We know that QA = 4m. Since A is the mid - point of QS, then QS=2QA. And SA = QA.
Answer:
4 m