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Byju's Answer
Standard X
Mathematics
Similar Triangles
In the given ...
Question
In the given figure,
A
B
=
A
C
and
A
P
=
A
Q
. Prove that
C
P
=
B
Q
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Solution
In
△
A
P
C
and
△
A
Q
B
A
B
=
A
C
and
A
P
=
A
Q
From the given figure,
∠
A
=
∠
A
[common in both the triangles
By using corresponding parts of congruent triangles concept we have
B
Q
=
C
P
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1
Similar questions
Q.
In
△
A
B
C
,
∠
A
is obtuse,
P
B
⊥
A
C
and
Q
C
⊥
A
B
.
Prove that:
(I)
A
B
×
A
Q
=
A
C
×
A
P
(ii)
B
C
2
=
(
A
C
×
C
P
+
A
B
×
B
Q
)
Q.
In the adjoining figure P and Q are two points on equal sides AB and AC of an isosceles triangle ABC such that AP
=
AQ , prove that BQ
=
CP
Q.
In the given figure, if AB = AC and ∠B = ∠C. Prove that BQ = CP.