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Byju's Answer
Standard X
Mathematics
Converse of Basic Proportionality Theorem
Question 11In...
Question
Question 11
In figure, if
∠
D
=
∠
C
, then is it true that
Δ
A
D
E
∼
Δ
A
C
B
,? Why?
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Solution
True
In
Δ
A
D
E
a
n
d
Δ
A
C
B
,
∠
A
=
∠
A
[ common angle]
∠
D
=
∠
C
[given]
Δ
A
D
E
∼
Δ
A
C
B
[ by AAA similarity criterion ]
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Similar questions
Q.
Question 11
In figure, if
∠
D
=
∠
C
, then is it true that
Δ
A
D
E
∼
Δ
A
C
B
,? Why?
Q.
In figure, if
∠
D
=
∠
C
then it is true that
Δ
A
D
E
∼
Δ
A
C
B
,? Why?
Q.
Question 6
In the below figure, if
Δ
A
B
E
≅
Δ
A
C
D
, show that
Δ
A
D
E
∼
Δ
A
B
C
.
Q.
If D is a point on side AB of ABC and DE is a line through D meeting AC at E such that
Δ
A
D
E
∼
Δ
A
C
B
. Then AB. AD is equal to
Q.
Question 11
In
Δ
P
Q
R
,
P
D
⊥
Q
R
such that D lies on QR. If PQ = a, PR = b, QD = c and DR = d, then prove that (a+b) (a-b) = (c+d) (c-d).
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Converse of Basic Proportionality Theorem
Standard X Mathematics
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