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

Byju's Answer

Standard XII

Mathematics

Distance Formula

On the Cartes...

Question

On the Cartesian plane. $P Q R$ is an isosceles triangle.
The perimeter of $△ P Q R$ is

16

units

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

18

units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20

units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

22

units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $16$ units
$Q R = 6$
$P Q = \sqrt{(5 - 2)^{2} + 4^{2}}$
$= \sqrt{3^{2} + 4^{2}} = 5$
$P R = \sqrt{(5 - 8)^{2} + 4^{2}} = 5$
Perimeter = $P Q + Q R + P R$
$\Rightarrow 5 + 5 + 6 = 16$

Suggest Corrections

Similar questions

Q. On the Cartesian plane. PQR is an isosceles triangle.
The perimeter of

Δ P Q R

Q. The sides of triangle ABC measure 5, 6 and 7 units, while the perimeter of

△ PQR

is 360 units .
If

△ ABC

is similar to

△ PQR

, then find the sides of

△ PQR

Q. On the Cartesian plane,

P Q R

is a right-angled triangle.
The coordinates of

P

are

Triangle ABC has side of length 5, 6 and 7 units, while triangle PQR has a perimeter of 360 units when will ΔABC similar to ΔPQR? And hence find the sides of the triangle PQR.

Q. The scale on the x-axis is

1 : 3

and the scale on the y-axis is

1 : 2

. Hence, the area of

△ P Q R

on the Cartesian plane in square units is

Join BYJU'S Learning Program

On the Cartesian plane. PQR is an isosceles triangle.The perimeter of △PQR is

The correct option is A 16 unitsQR=6PQ=√(5−2)2+42=√32+42=5PR=√(5−8)2+42=5Perimeter = PQ+QR+PR⇒5+5+6=16

On the Cartesian plane. $P Q R$ is an isosceles triangle.
The perimeter of $△ P Q R$ is

The correct option is A $16$ units
$Q R = 6$
$P Q = \sqrt{(5 - 2)^{2} + 4^{2}}$
$= \sqrt{3^{2} + 4^{2}} = 5$
$P R = \sqrt{(5 - 8)^{2} + 4^{2}} = 5$
Perimeter = $P Q + Q R + P R$
$\Rightarrow 5 + 5 + 6 = 16$