Q. 1

Construct quadrilaterals with the measurements given below:

Quadrilateral HELP with HE = 6cm, EL = 4.5 cm, H=60o, E =105o and P= 120o.

Answer :

GIVEN : In Quadrilateral HELP,


HE = 6cm


EL = 4.5 cm


H=60o


E =105o


P= 120o


PROCEDURE :


Step 1: draw a rough sketch of the Quadrilateral HELP and mark the given measurements.


As we can see that P is not between the given 2 sides , so we now find the L that is between HE and EL using the property of sum of all angles of a quadrilateral ie. L = 360° - (H + E + P) = 360° - (60° + 105° + 120°) = 75°.


L = 75°.



Step 2: construct ΔHEL using SAS property of construction model with HE = 6cm , E = 105o and EL = 4.5 cm.



Step 3 : Construct H = 60° and draw HY .


( how to draw 60° angle ?


an arc is drawn from H . let it intersect HE at H’ . with center H’ and with same radius draw 2 arcs to cut at 2 points A,B which gives 60° and 120° respectively.


So , draw a line from H which passes through A to get the required angle. )



Step 4 : construct L = 75o and draw LZ to meet HY at P.


HELP is the required quadrilateral.



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