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Construct parallelogram PQRS with PQ=4cm, QR=6cm, and angle PQR=60 degrees. Then construct triangle QTU with QT=5cm and area equal to the parallelogram.

Mathematics

ScanSolve AI Answer

Here's the solution to question 13:

Given:
Parallelogram PQRS with:
PQ=4PQ = 4 cm
QR=6QR = 6 cm
∠PQR=60∘\angle PQR = 60^\circ

Triangle △QTU\triangle QTU with:
QT=5QT = 5 cm
Area(△QTU\triangle QTU) = Area(Parallelogram PQRS)

a) Construct the parallelogram PQRS according to the given measurements. Also construct △QTU\triangle QTU having side QT=5QT = 5 cm and equal in area to the parallelogram.

Construction Steps:

Part 1: Constructing Parallelogram PQRS

  1. Draw a line segment PQ=4PQ = 4 cm.
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