In the figure, PQR is a triangle. S is a point on QR such that PS is perpendicular to QR. T is the midpoint of PR. Given that angle QPR = 90°, PQ = 8 cm, PR = 6 cm and QR = 10 cm.

(a) Calculate the length PS.
(b) Show that triangle PQS is similar to triangle QPR and hence find the length QS.
(c) A point U lies on PQ such that TU is parallel to QR. Find the length of TU.
(d) Calculate the area of trapezium QRTU.

Question

In the figure, PQR is a triangle. S is a point on QR such that PS is perpendicular to QR. T is the midpoint of PR. Given that angle QPR = 90°, PQ = 8 cm, PR = 6 cm and QR = 10 cm.

(a) Calculate the length PS.
(b) Show that triangle PQS is similar to triangle QPR and hence find the length QS.
(c) A point U lies on PQ such that TU is parallel to QR. Find the length of TU.
(d) Calculate the area of trapezium QRTU.

Accepted Answer

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Answer

A) null

Answer

B) null

Answer

C) null

Answer

D) null

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