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Question
Construct an obtuse angled triangle which has a base of 5.5 cm and base angles of 30° and 120°.
Solution
Steps of construction:
Step I: Draw a line segment SC of length 5.5 cm.
Step II: Draw an angle of 120° on point S and produce it to ray Y.
Step III: Draw an angle of 30° on point C and produce it to ray X.
Step IV: Extend BY and CX to intersect at point A.
Hence, ΔABC is the required triangle with BC = 5.5, ∠ABC = 120° and ∠ACB = 30°.
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