Construct a trapezium LMNO, in which LM =7cm, MN=4.5cm, NO=4cm,ÐM = 60° and LM||NO. Write the steps of construction.
Asked by Topperlearning User | 4th Jan, 2014, 10:32: AM
Here, we are given the measure of 3 sides and 1 included angle. We need the measure of also to construct the required trapezium.
It is known that LM||ON, so =180°
=180°
=180° - 60°=120°
Steps of construction:
a)Draw LM = 7 cm.
b)At M, draw an angle XML = 60°.
c)Cut an arc of radius 4.5cm from point M to intersect MX at point N.
d)At N draw an angle YNM = 120°.
e)Draw an arc of radius 4 cm from N to intersect NY at point O.
f)Join OL.
LMNO is the required trapezium.
Answered by | 4th Jan, 2014, 12:32: PM
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