Q. 13.8( 32 Votes )

# Construct the quadrilateral with the measurements given below:

Quadrilateral GOLD OL = 7.5 cm, GL = 6 cm, LD = 5 cm, DG = 5.5 cm and OD = 10 cm.

Answer :

GIVEN : in Quadrilateral GOLD,

OL = 7.5 cm

GL = 6 cm

LD = 5 cm

DG = 5.5 cm

OD = 10 cm

PROCEDURE :

Step 1 : we first draw the rough sketch of the Quadrilateral GOLD.

Step 2 : draw ΔOLD using SSS construction property with measures OL = 7.5 cm , LD = 5 cm and OD = 10 cm.

Step 3 : with center L and radius 6 cm (LG = 6cm) and with center D and radius 5.5 cm (DG = 5.5 cm) , draw 2 arcs opposite to vertex L to locate G.

Step 4 : Join G,D , L,G and G,O to complete the Quadrilateral GOLD.

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