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Given : QR = 6.3 cm ∠Q =75°
PQ + PR = 9 cm
To Find : Construct triangle PQR
Solution:
Step 1 : Draw a line segment QR = 6.3 cm
Step 2 : Draw an angle of 75° at Q on QR
Step 3 : take a length of 9 cm from Q and cut angle drawn at S.
Step 4 : Join RS
Step 5 : Draw perpendicular biscetor of RS intersceting QS at P
Step 6 : Join PR
Required triangle is constructed
Justification
as MP is perpendicular bisector of RS
=> PS = PR
QS = 9 cm = PQ + PS
=> 9 cm = PQ + PR
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