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Byju's Answer
Standard IX
Mathematics
If Two Angles of a Triangle Are Congruent Then the Sides Opposite to Them Are Congruent
D is the midp...
Question
D is the midpoint of base BC. DE and DF are perpendiculars to AB and AC respectively such that DE=DF. Prove that angle B=angle C
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Solution
As given in question that DE = DF. So Angle B = Angle C as angle opposite to equal sides are equal.
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Similar questions
Q.
In a
△
A
B
C
,
D
is the midpoint of the side
B
C
.
D
E
is perpendicular to
A
B
and
D
F
is perpendicular to
A
C
. Also,
D
E
=
D
F
, Then
∠
B
=
Q.
Question 9
In figure , AB ∥ DE, AB = DE, AC ∥ DF and AC = DF . Prove that BC ∥ EF and BC = EF.
Q.
In the adjacent figure
△
A
B
C
,
D
is the midpoint of
B
C
.
D
E
⊥
A
B
,
D
F
⊥
A
C
and
D
E
=
D
F
. Show that
△
B
E
D
≅
△
C
F
D
Q.
In the adjacent figure,
△
ABC, D is the midpoint of BC. DE
⊥
AB, DF
⊥
AC and DE = DF. Show that
△
BED
≅
△
CFD
Q.
Question 9
In figure , AB ∥ DE, AB = DE, AC ∥ DF and AC = DF . Prove that BC ∥ EF and BC = EF.
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If Two Angles of a Triangle Are Congruent Then the Sides Opposite to Them Are Congruent
Standard IX Mathematics
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