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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

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18

units

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20

units

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22

units

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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 = $P Q + Q R + P R$
$\Rightarrow 5 + 5 + 6 = 16$

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Similar questions

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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 = $P Q + Q R + P R$
$\Rightarrow 5 + 5 + 6 = 16$