Q2 of 59 Page 67

Construct a triangle PQR in which QR = 4.8 cm, Q = 45° and R = 55°.

We have been given two angles and one side of triangle ABC.


Steps of construction for this case would be:


1. Draw a line segment sufficiently long using a ruler.



2. Locate points Q and R such that QR = 4.8 cm, on the previously drawn line segment using a ruler.



3. Construct a line segment QX such that XQR = 45° using a compass; use protractor to measure 45°.



4. Construct another line segment RY such that YRQ = 55° using a compass; use protractor to measure 55°.



5. Use these extended line segments QX and RY to intersect at point P.



Thus, PQR is the required triangle.


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