Triangle PQR is similar to Triangle XYZ. The ratio of their perimeters is 3:4. What is the ratio of the length of the median from vertex P to the length of the median from vertex X?
Show answer & explanation
Correct answer: A
Explanation
Given:
ΔPQR ∼ ΔXYZ
Ratio of perimeters = 3 : 4
In similar triangles, all line segments (sides, medians, etc.) are in the same ratio.
Ratio of medians = Ratio of sides = 3 : 4