12. In the adjoining figure, AB 1 QR, AC I QP and QC = QB.
HIS AQABAQAC? Why?
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Answer:
In ∆ABC & ∆PQR,
AB=PQ. (GIVEN)
Angle ABC = Angle PQR.
(as AB perpendicular to BC & PQ perpendicular to RQ)
as,. BR=CQ
BR+CR= CQ+ CR
BC=QR
( as equal are added to equals then whole are equal to one another)
so,. ∆ABC≈∆PQR. ( by SAS criteria)
therefore, AC = PR
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