Q37. Construct a ∆ABC in which BC=5.8 cm and ∟B=∟C=30° measure AB
and AC. What do you observe.
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Construct AB = 5.8 cm Construct ∠ABX = 60o From BX, cut the line segment BD which is equal to BC + CA = 8.4 cm Join the points AD Construct a perpendicular bisector of AD which meets BD at the point C In order to obtain the required triangle ABC join AC Justification: We know that C lies on AD which is the perpendicular bisector So we get CA = CD We know that BD = 8.4 cm It can be written as BC + CD = 8.4 cm So we get BC + CA = 8.4 cm Therefore, △ ABC is the required triangle.Read more on Sarthaks.com - https://www.sarthaks.com/728401/construct-a-abc-in-which-ab-5-8cm-b-60and-bc-ca-8-4cm-justify-your-construction
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