1.

.In the given figure, find PM (a) 3 cm (b) 5 cm (c) 4 cm (d) 2 cm

Answer»

Answer:

In the given figure ∠LOP = ∠MOP , OL = 3cm , OP = 5cm , ∠PLO = ∠PMO  [ as right angles ]

Firstly we have to prove that traingle LOP is congruent to traingle mop

se we will PROOF the congruence of those traingle

s

In traingle LOP and traingle MOP

  ∠LOP = ∠MOP

 OP = OP [common]

∠PLO = ∠PMO [ right angles ]

Hence , ΔLOP ≅ΔMOP

PM = PL [ by CPCT ]

So , here we have got to know that PL = PM so if we find tHe value of PL it will be equal to PM

So , we can find the value of PL by the pythagoras theorem that is to be APPLIED in ΔPLO ,

OP²= LP²+OL²

[5]²= [3]²+LP²

25= 9 +LP²

LP²= 25- 9

LP= √16 = 4cm

As we know that PM= PL

So , PL = PM = 4cm

OPTION [C]

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