Question

Draw a circle with 'O' as centre and radius 3.8 cm.

Take two points P and Q such that ZPOQ = 120° Draw tangents at P and Q without using centre.​

Answer 1

Answer:

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Explanation:

TEP I

Draw any chord PQ through the given point P on the circle.

STEP II

Take a point R on the circle and join P and Q to a point R.

STEP III

Construct ∠QPY=∠PRQ and on the opposite side of the chord  

PQ.

STEP IV

Produce YP to X to get YPX as the required tangent.

Construct ∆ABC such that AB = 5.5 cm, BC = 6 cm and CA = 4.5 cm.

∆ABC and ∆LMN are similar.

Therefore, their corresponding sides are proportional.

∴ABLM=BCMN=CANL=54

⇒5.5LM=6MN=4.5NL=54

⇒LM=45×5.5=4.4 cm, MN=45×6=4.8 cm, NL=45×4.5=3.6 cm

Now, construct ∆LMN such that LM = 4.4 cm, MN = 4.8 cm and NL = 3.6 cm.