Question

In the figure , O is the centre of the circle .

OLN = 30 ∠ 0

.

a) What is the measure of MLN ? ∠

b) What is the measure of LMN ? ∠

c) What is the measure of LON ?​

Answer 1

Answer:

In the given figure,

LMN is a right triangle in which ∠M=90

∘

. P and Q are mid-points of LM and LN respectively.

If LM = 9 cm, MN = 12 cm and LN = 15 cm, find :

(i) the perimeter of trapezium MNQP.

(ii) the area of trapezium MNQP.

1079626

Step-by-step explanation:

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

solution

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