Question

In angle LMN, m M=90°,m L= 30°,
LN= 6 cm. find LM.​

Answer 1

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=

2

1

MN=6cm

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

=24+6

=30cm

(ii)Area of trapezium=

2

1

×(sum of parallel sides)× (height)

=

2

1

×(12+6)×4.5

=9×4.5

=40.5cm

Answer 2

Answer:

LM=3√3 by 30°-60°-90° Theorem