Math, asked by vrinda49, 6 months ago

AOBC is a rectangle whose three vertices are A(0, 3) O(0, 0) and B(5, 0) the length of its diagonal is​

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Answered by ItźDyñamicgirł
38

Question

AOBC is a rectangle whose three vertices are A (0 , 3) O (0 , 0) and B (5, 0) the length of its diagonal is

Given

  • AOBC is a rectangle
  • It has 3 vertices, they are A(0 , 3) O (0 , 0) and B (5 , 0)

Required to find

Length of the diagonal.

Solution

 \sf ab =   \sqrt{ { (x_{2} - { x_{1})} }^{2}  }  +  (y_{2} -  { y_{1})}^{2}

 \sf \implies \sqrt{ {(5 - 0)}^{2} }  +  {(0 - 3)}^{2}

 \sf  \implies \sqrt{ {5}^{2} }  +  { (- 3)}^{2}

 \sf \implies \sqrt{25}  + 9

 \implies \sf \sqrt{34 \:} units

\tt \underline\color{teal}{Note}

•You can find diagonal if you have the width and the height.

•A recrangle has 2 diagonals , each one is line segment drawn between the opposite vertices of the rectangle.

•Diagonals are always congruent

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Answered by unegi9705
8

Step-by-step explanation:

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