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Byju's Answer
Standard X
Mathematics
Similar Triangles
S and T are...
Question
S
and
T
are points on sides
P
R
and
Q
R
of
△
P
Q
R
such that
∠
P
=
∠
R
T
S
. Show that
△
R
P
Q
∼
△
R
T
S
.
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Solution
In
△
R
P
Q
and
△
R
T
S
∠
R
is common
∠
R
T
S
=
∠
P
(Given)
∠
P
R
Q
=
∠
T
R
S
=
∠
R
(Common)
Hence, By AA criterion of similarity,
△
R
P
Q
∼
△
R
T
S
[
h
e
n
c
e
p
r
o
v
e
d
]
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Similar questions
Q.
S and T are point on sides PR and QR of ΔPQR such that ∠P = ∠RTS. Show that ΔRPQ ∼ ΔRTS.