SOLUTION: side AB and BC and median AD of a triangle ABC respectively proportional to the sides PQ and QR and median of triangle PQR show that traingle ABC~PQR
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Question 119087: side AB and BC and median AD of a triangle ABC respectively proportional to the sides PQ and QR and median of triangle PQR show that traingle ABC~PQR
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Remember:
to be is not same as to be
The of a triangle is a from a to the of the opposite side.
Given:
Triangles and
proportional to
proportional to
and median proportional to
to prove:
trianglesand are similar
~
proof:
prove that three sides of triangles are proportional
since is midpoint of , then
is proportional to and proportional to
since
and
we can conclude that is proportional to
two triangles and have three sides that are proportional
proportional to
proportional to
and proportional to
therefore triangles and are , or
~
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