You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Angles

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

Open in App

Solution

Given PQR such that $∠ R = ∠ P$ . QR = 4 cm and PR = 5 cm

In $Δ P Q R ∠ R = ∠ P$
$\Rightarrow P Q = Q R$ [sides opposite to equal angles are equal
$\Rightarrow P Q = 4 c m$ $[∵ Q R = 4 c m]$
Hence, the length of PQ is 4 cm

Suggest Corrections

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

Δ P Q R, ∠ R = ∠ P

and

Q R

= 4

cm and

P R

= 5

cm. then what is the length of

P Q

Question 18

The area of a parallelogram is $60 c m^{2}$ and one of its altitude is 5 cm. The length of its corresponding side is

(a) 12 cm
(b) 6 cm
(c) 4 cm
(d) 2 cm

Q. Question 11

I f Δ A B C \sim Δ Q R P,

\frac{a r (Δ A B C)}{a r (Δ P Q R)} = \frac{9}{4}

,
AB = 18 cm and BC = 15 cm, then PR is equal to :

(A) 10 cm
(B) 12 cm
(C)

\frac{20}{3} c m

(D) 8 cm

Q. In ∆PQR, ∠P = ∠R, QR = 4 cm and PR = 5 cm. Then PQ = ________.

Join BYJU'S Learning Program

Explore more

Angles

Standard IX Mathematics

Join BYJU'S Learning Program

Question 5 In ΔPQR, 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

Given PQR such that ∠R=∠P. QR = 4 cm and PR = 5 cm In ΔPQR∠R=∠P ⇒PQ=QR [sides opposite to equal angles are equal ⇒PQ=4cm [∵QR=4cm] Hence, the length of PQ is 4 cm

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

Given PQR such that $∠ R = ∠ P$ . QR = 4 cm and PR = 5 cm

In $Δ P Q R ∠ R = ∠ P$
$\Rightarrow P Q = Q R$ [sides opposite to equal angles are equal
$\Rightarrow P Q = 4 c m$ $[∵ Q R = 4 c m]$
Hence, the length of PQ is 4 cm