Math, asked by shreedhar58, 11 months ago

hy I want question no. 4 with full explanation

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Answered by SillySam
1
Heya mate, Here is ur answer

Given: 1)BX perpendicular POQ

so, angle POB=angle QOB=90°

2)BX bisect angle ABC

so, angle PBO=angle QBO

To prove:PO=OQ

Proof:In ∆POB and ∆QOB

Angle POB=angle QOB (each 90°,given)

Angle PBO=Angle QBO (Given)

OB=OB(common line)

So, ∆POB congruent ∆QOB(By RHS congruence criterion)

Therefore,PO=OQ(By CPCT)

Hence,Proved.

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