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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