Q. 33.7( 15 Votes )

Construct quadrilaterals with the measurements given below:

Rectangle FLAG with sides FL = 6cm and LA = 4.2 cm.

Answer :

GIVEN : In Rectangle FLAG,


FL = 6 cm


LA = 4.2 cm


PROCEDURE :


Step 1 : draw a rough sketch of the Rectangle FLAG and mark the given measurements.


Since the given measurements are not sufficient for construction , we shall find the required measurements using the properties of the RECTANGLE.



As opposite sides of rectangle are equal so, FL = AG = 6cm and LA = GF = 4.2 cm and F = L = A = G = 90°.


Step 2 : construct ΔFLA using SAS property of construction model with FL = 6cm , L = 90o and LA = 4.2 cm.



Step 3 : construct F = 90° and draw FY || LA.



Step 4 : construct A = 90° and draw AN to meet FY at G.


FLAG is the required quadrilateral (ie. rectangle).



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