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Mathematics

In the given figure, the value of AB × CD is :

In the given figure, the value of AB × CD is : Pythagoras Theorem, Concise Mathematics Solutions ICSE Class 9.
  1. AC × BC

  2. AC × CD

  3. AC × AB

  4. AC2 + BC2

Pythagoras Theorem

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Answer

By formula,

⇒ Area of triangle = 12\dfrac{1}{2} × base × height

From figure,

⇒ Area of △ ABC = 12\dfrac{1}{2} × AB × CD ………(1)

⇒ Area of △ ABC = 12\dfrac{1}{2} × BC × AC ………(2)

From equations (1) and (2), we get :

12\dfrac{1}{2} × AB × CD = 12\dfrac{1}{2} × BC × AC

⇒ AB × CD = BC × AC.

Hence, Option 1 is the correct option.

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