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Byju's Answer
Standard IX
Mathematics
If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side
Question 5In ...
Question
Question 5
In
Δ
P
Q
R
, if
∠
R
=
∠
P
and QR =4 cm and PR =5cm. Then, the length of PQ is
(A) 4 cm
(B) 5 cm
(C) 2 cm
(D) 2.5 cm
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Solution
Given PQR such that
∠
R
=
∠
P
. QR = 4 cm and PR = 5 cm
In
Δ
P
Q
R
∠
R
=
∠
P
⇒
P
Q
=
Q
R
[sides opposite to equal angles are equal
⇒
P
Q
=
4
c
m
[
∵
Q
R
=
4
c
m
]
Hence, the length of PQ is 4 cm
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Similar questions
Q.
Question 5
In
Δ
P
Q
R
, if
∠
R
=
∠
P
and QR =4 cm and PR =5cm. Then, the length of PQ is
(A) 4 cm
(B) 5 cm
(C) 2 cm
(D) 2.5 cm
Q.
In ∆PQR, ∠P = ∠R, QR = 4 cm and PR = 5 cm. Then PQ = ________.