Q. 34.3( 16 Votes )

Construct Δ ABC, in which BC = 6cm, ABC = 100° and AC – AB – 2.5CM

Answer :

Given: Base BC = 6cm, AC-AB = 2.5cm and

B = 100° of Δ ABC.


Required: To construct a triangle ABC.


Steps of construction:


i: Draw a segment BC of length 6cm.



ii: Draw ray BT such that B = 100°



iii: Mark an arc on opposite of ray BT i.e. ray BS cutting at D such that BD = 2.5cm.



iv: Draw segment CD.



v: Construct the perpendicular bisector of segment CD.



vi: Name the point of intersection of ray BS and the perpendicular bisector of CD as A.



vii: Draw segment AC.



ΔABC is the required triangle.


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