PQR is a triangle right-angled at Q. A line through the mid-point M of hypotenuse PR and parallel to QR intersects PQ at point S. Show that: i) S is the mid-point of PQ. ii) MS⊥ PQ iii) MQ = MP = 1 2 PR
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In PQR, Q = 90°, PQ = 12, QR = 5 and QS is a median. Find l(QS). Solution: ... Given XYZ ~ PQR. If two triangles are similar then their corresponding sides are in proportion and corresponding angles are congruent. XY/PQ = YZ/QR = XZ/PR [Corresponding sides of similar triangles]
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