33. In the adjoining figure, explain how one can find
the breadth of the river without crossing it.
B
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Answer:
MN is the width of the river.
Step-by-step explanation:
Consider AB as the breadth of the river. Take a point M at a distance from B. Draw a perpendicular from the point M and name it as N so that it joins the point A as a straight line.
Now in △ABO and △NMO
We know that
∠OBA=∠OMN=90
∘
We know that O is the midpoint of the line BM
So we get
OB=OM
From the figure we know that ∠BAO and ∠MON are vertically opposite angles
∠BAO=∠MON
By ASA congruence criterion
△ABO≅△NMO
AB=NM(c.p.c.t)
Therefore, MN is the width of the river.
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