Question

Given: △PQR∼△JXY, QS , XZ are medians,PQ=9, XZ=4, QS=XJ. Find: QS.

Answer 1

QS = 6

Explanation:

Ratios of corresonding parts of similar triangles are equal.

PQ/QS = JX/XZ

9/QS = QS/4 . . . . . substituting given values

36 = QS^2 . . . . . . . multiply by 4QS

√36 = QS = 6 . . . . .take the square root