Question

(D) Construct A ABC, in which AB = 5.4cm, AC + BC = 8.4cm and
ZA = 600.​

Answer 1

Answer:

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