3. Ти и д лье , Salk 3 3 3 и 12 3 ..
mid- point of hypotenuse AB. C'es foined to ai
and produced to a point I such that BM-co.
Point Dis joined to point B. show that
1) ДАМСЕД В МО
1
() <D B C is a Right <.
L а) ДФВС АДАСв
v) си - AB
р 20
Б
2
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In ΔABC,E is mid-point of the median AD and BE produced meets side AC at point Q. Show that BE:EQ=3:1
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Solution
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Let's take point x on AC such that BQ∣∣DX
CD=DB (D is median)
Applying midpoint theorem in ΔCBQ
2DX=BQ
Also AE=ED (E is midpoint of AD)
Now applying midpoint theorem on ΔDAX.
2EQ=DX
Hence
EQ
BE
=
EQ
BQ−EQ
=
2
DX
2DX−
2
DX
=
DX
3DX
=3:1
Hence prooved.
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