Question

In the given figure PL is perpendicular to OA and PM is perpendicular to OB such that PL =PM
Is OL=OM? give reason

Answer 1

Heyy mate ❤✌✌❤

Here's your Answer...

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In triangle POL and POM.

PL = PM (given)

PO = PO ( common)

Angle L = Angle M (each 90)

Therefore, POL is congruent to POM.

By CPCT,

OL = OM.
✔✔✔

Answer 2

Answer:

Given

PL⊥OA , OM⊥OB and PL=PM

To Prove:

△PLO≅△PMO

Proof:

In △PLO and △PMO

∠PLO=∠PMO=90

o

PO=PO (common side)

PL=PM (given)

∴ △PLO≅△PMO by the RHS congruence property.