In a quadrilateral $PQRS$, $PQ = 8\text{ cm}$, angle $PQR = 60^\circ$, $QR = 7\text{ cm}$, \

Question

In a quadrilateral $PQRS$, $PQ = 8\text{ cm}$, angle $PQR = 60^\circ$, $QR = 7\text{ cm}$, $PS = 5.5\text{ cm}$ and angle $QRS = 110^\circ$. Complete the diagram below for quadrilateral $PQRS$. Mark two possible positions of $S$, label the two positions as $S_1$ and $S_2$. [3] Measure the length between $S_1$ and $S_2$. [1] If the displayed or printed diagram has been resized, redraw the initial sides to the stated centimetre lengths before carrying out the construction and taking measurements.

Accepted Answer

$3.6\text{ cm}$

Geometrical Constructions - Constructing Quadrilaterals

Geometrical Constructions - Constructing Quadrilaterals

Solution:

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