Math, asked by BrainlyPopularStar01, 16 days ago

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Answered by ITZURADITYAKING
1

Answer:

. Find the distance between (i) A(5, 5) and B(-6, -6) (iii) P(3, 4) and Q(4, -2) (ii) C(5, 3) and D(-4, 0) (iv) L(0, 0) and M(4, 3)

Answered by sehgalp381
20

Answer:

Hello dear: -

Step-by-step explanation:

Distance formula :-

 \sqrt{(x2 - x1) {}^{2}  + (y2 - y1) {}^{2} }

(1) |AB|

( \sqrt{( - 6 - 5) {}^{2} + ( - 6 - 5) {}^{2}  }  \\  \sqrt{ (- 11) {}^{2}  + ( - 11) {}^{2} }  \\  \sqrt{121 + 121}  =  \sqrt{242}  \\ 11 \sqrt{2}

(2)|CD|

 \sqrt{( - 4 - 5) {}^{2}  + (0 - 3) {}^{2} }  \\  \sqrt{( - 9) {}^{2}  + ( - 3) {}^{2} }  \\  \sqrt{81 + 9}  \\  \sqrt{90}  = 3 \sqrt{10}

(3)|PQ|

 \sqrt{(4 - 3) {}^{2} + ( - 2 - 4) {}^{2}  }  \\  \sqrt{(1) {}^{2} + ( - 6) {}^{2}  }  \\  \sqrt{1 + 36}  \\  \sqrt{37}

(4) |LM|

 \sqrt{(4) {}^{2}  + (3) {}^{2} }  \\  \sqrt{16 + 9}  \\  \sqrt{25}  = 5

ok marks as brainliest☺❤:-)

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