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Byju's Answer
Standard IX
Mathematics
SAS Criteria for Congruency
ABC is an iso...
Question
A
B
C
is an isosceles triangle with
A
B
=
A
C
and
B
D
and
C
E
are its two medians. Show that
B
D
=
C
E
.
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Solution
Given:-
AB = AC
Also , BD and CE are two medians
Hence ,
E is the midpoint of AB and
D is the midpoint of CE
Hence ,
1/2 AB = 1/2AC
BE = CD
In Δ BEC and ΔCDB ,
BE = CD [ Given ]
∠EBC = ∠DCB [ Angles opposite to equal sides AB and AC ]
BC = CB [ Common ]
Hence ,
Δ BEC ≅ ΔCDB [ SAS ]
BD = CE (by CPCT)
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ABC is an isosceles triangle with AB=AC AND BD,CE are it's two median . Show that BD=CE.
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ABC is an isosceles triangle with AB = AC and BD, CE are its two medians. Show that BD = CE.
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