Question

Construct a quadrilateral DIET in which DI=3.5cm, IE=4.2cm, ET=4.1cm, DT=5cm and m angle T=75°​

Answer 1

Given : a quadrilateral DIET in which DI=3.5cm, IE=4.2cm, ET=4.1cm, DT=5cm and m∠T=75°​

To Find : Construct   quadrilateral DIET

Solution:

Step 1 : Draw a line segment  DT = 5 cm

Step 2 : Draw an angle of 75° using protractor  at T on DT

Step 3: Take a length of 4.1 cm on angle drawn and mark it E

Step 4 : Using compass width 3.5 cm and taking D as center draw an arc

Step 5 : Using compass width 4.2 cm and taking E as center draw an arc such that it intersects arc drawn in previous step at I

Step 6 : Join DI and IE

quadrilateral DIET is constructed

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