Math, asked by bishefa53, 2 months ago

Help pleaseeeeee will mark as brainly for correct answer thanks ​

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Answered by user9807
1

Answer:

To find the length of PM

Triangle OMP is a right angled triangle

Therefore by using Pythagoras theorem

(Hypotenuse)² = (base)² + (height)²

5² = 4² + PM²

25 = 16 + PM²

25 - 16 = PM²

9 = PM²

9 = PM

3 = PM

Therefore, Length of PM is 3cm.

THANK YOU!

HOPE IT HELPS YOU!

Answered by ashishc1403
1

Heya mate... here you go...

In the given figure ∠LOP = ∠MOP , OL = 4cm , 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= [4]²+LP²

25= 16 +LP²

LP²= 25- 16

LP= √9 = 3cm

As we know that PM= PL

So , PL = PM = 3cm

have a good day ahead friend...

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