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AP EAMCET202124 Aug 2021Morning ShiftMathematicsVector AlgebraActual

If A B C D E F is a regular hexagon, where two adjacent sides A B and B C are a and b respectively. Then C D is

Options

  1. Ab - a
  2. Ba+b
  3. Ca-b
  4. Da+2 b

Correct answer

A. b - a

Step-by-step solution

A B C D E F is a regular hexagon where, aligned A B & = a B C & = b C D & =? aligned A B C D E F is regular hexagon, then A B = E D , B C = F E and C D = A F Now, we know that A D =2 B C =2 b and in A B C aligned A C & = A B + B C [Using triangle law] & = a + b aligned Now, In A C D array rlrl & & A C + C D & = A D & a + b + C D & = 2 b & & C D & = 2 b - a - b & & C D & = b - a array

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