Question

In angle LMN If LM=10cm and angle LUMM =90 degree angle LMN = 3 degree THEN NM ?
options =1) 5 under root 2 cm
2) 5 cm
3)10 cm
4) 5 under root 3 cm
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Answer 1

${\huge{\pink{↬}}} \: \: {\huge{\underline{\boxed{\bf{\pink{Answer}}}}}}$

LM=9cm

MN=12cm

LN=15cm

∴PM=4.5cm

QN=7.5cm

And we know that the line joining the mid points of the two sides of a triangle is parallel to the third side and is equal to half of it.

∴PQ= 1/2

MN=6cm

(i)Perimeter of trapezium MNQP=(4.5+7.5+12+6)

=24+6

=30cm

(ii)Area of trapezium= 1/2 ×(sum of parallel sides)× (height)

=1/2×(12+6)×4.5

=9×4.5

=40.5cm.

Answer 2

$\sf(4) \: \: \leadsto \: \: \: 5 \sqrt{3} \: \: cm$