1.
EXERCISE 7.5 (Optional)*
ABC is a triangle. Locate a point in the interior of A ABC which is equidistant from
the vertices of A ABC.
distant from all the sides of
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5
Answer:
Let PQ and RS intersect at point O.
Join OA, OB and OC.
Now in AOM and BOM,
AM = MB [By construction]
AMO = BMO = [By construction]
OM = OM [Common]
AOM BOM [By SAS congruency]
OA = OB [By C.P.C.T.] …..(i)
Similarly, BON CON
OB = OC [By C.P.C.T.] …..(ii)
From eq. (i) and (ii),
OA = OB = OC
Hence O, the point of intersection of perpendicular bisectors of any two sides of ABC equidistant from its vertices.
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2
Answer:
SEE THE ATTACHMENT FOR SOLUTION.
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