Question

the given figure, the value of PM

(A) 3 (B) 4

(C) 5 (D) 2​

Answer 1

Answer:

in triangle OLP and triangle OMP,

angle OLP=angle OMP=90°

OP=PO(common side)

angle LOP=angle POM(given)

by RHS congruence

therefore, triangle OLP =~ triangle OMP

OL=OM=3cm(By CPCT)

in triangle OMP,

OM²+PM²=OP²

3²+PM²=5²

PM²=5²-3²

PM²=25-9

PM²=16

PM=√16

PM=4cm

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