Q. 14.2( 31 Votes )

Construct ∆ABC in

Answer :

Given: base BC = 7cm, AB + AC = 12 cm and

B = 75° of Δ ABC.


Required: To construct a ΔABC


Steps of construction:


Step 1: Draw a segment BC of length of 7 c



Step 2: At vertex B, construct B = 75° and produce a ray BP.



Step 3: Mark an arc on ray BP cutting at D such that BD = 12cm.



Step 4: Draw segment CD.



Step 5: Construct the perpendicular bisector of segment CD.



Step 6: Name the point of intersection of ray BP and the perpendicular bisector of CD as A.



Step 7: Draw segment AB.



ΔABC is the required triangle.


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