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Step-by-step explanation:
Step-1 : Draw a line BC = 5 cm. Using Protractor, mark angle 75° at B.
Step-2 : Draw a line BD = 9cm so that begin mathsize 12px style angle end styleDBC = 75°. Join CD. Draw a perpendicular bisector to line segment CD.
Let this perpendicular bisector meet BD and CD at A and E respectively
Step-3 : Join AC . ΔABC is constructed as per the requirement.
Proof:- Δ AEC and ΔAED are congruent. Hence AC = AD. But as per construction AB+AD = 13 cm. Hence AB+AC = 13 cm
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