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Q. If P,Q,R are the midpoints of the sides of an isosceles triangle ABC,
Show that ∆ PQR is also isosceles.
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Answer:We have,
According to given figure.
PQ=PR(giventhat)
QS=SR(Bydefinationofmidpoint)
PS=PS(Commonline)
Then,
ΔSPQ≅ΔSPR (BY congruency S.S.S.)
Hence, PS bisects ∠PQR by definition of angle bisector.
Step-by-step explanation:
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