Question

points a and b are midpoints of the sides of triangle qrs. what is sa? 2 m 3 m 4 m 6 m (and the triangle diagram with labeled lengths: qr=6 m, ra? (no, r to q? wait, q to a is 4 m, a to s? r to b is 3 m, b to s? r to s? wait, the diagram: q, a, s on the base? q to a is 4 m, a to s? r is top, b is midpoint of rs (since r to b is 3 m, b to s should be 3 m? so rs is 6 m? then qs: q to a is 4 m, a is midpoint? wait, points a and b are midpoints. so by midline theorem? wait, the question is what is sa? options: 2,3,4,6. the diagram: q to a is 4 m, a to s? if a is midpoint of qs, then qa = as, so as would be 4 m? wait, but lets re-express the ocr: points a and b are midpoints of the sides of triangle qrs. what is sa? options: 2 m, 3 m, 4 m, 6 m. the triangle has q, r, s. q to a is 4 m, a to s? r to b is 3 m, b to s? r to q is 6 m? wait, maybe a is midpoint of qs, so qa = as. if qa is 4 m, then as is 4 m? so sa is 4 m? but lets just get the ocr text: points a and b are midpoints of the sides of triangle qrs. what is sa? 2 m 3 m 4 m 6 m (and the diagram with q, a, s on a line, q to a is 4 m, a to s? r at top, b on rs, r to b is 3 m, b to s? r to q is 6 m? maybe the midline theorem: ab is midline, so ab parallel to qr, and ab = 1/2 qr. but qr is 6 m, so ab would be 3 m, which matches the diagram (b to a? wait, the diagram has b to a? no, the diagram: q---a---s (base), q to a is 4 m, a to s? r is top, r to b is 3 m, b to s? r to q is 6 m. so if a is midpoint of qs, then qa = as. so qa is 4 m, so as (sa) is 4 m? so the question is about triangle midpoints, finding sa. the ocr text is: points a and b are midpoints of the sides of triangle qrs. what is sa? 2 m 3 m 4 m 6 m (and the diagram with q, a, s on a horizontal line, q to a is 4 m, a to s; r above, r to b is 3 m, b to s; r to q is 6 m).

Explanation:

Step1: Identify midpoints

A is midpoint of QS, so QA = AS.

Step2: Calculate AS

QA = 4 m, so AS = 4 m.

Answer:

C. 4 m