KnowledgeBoat Logo
|

Mathematics

In the adjoining figure, CD =

In the adjoining figure, CD.Pythagoras Theorem, R.S. Aggarwal Mathematics Solutions ICSE Class 9.
  1. 36 cm

  2. 40 cm

  3. 41 cm

  4. None of these

Pythagoras Theorem

1 Like

Answer

In the adjoining figure, CD.Pythagoras Theorem, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

From figure,

⇒ BE = AD = 20 cm and AB = DE = 40 cm

⇒ CE = BC - BE

⇒ CE = 29 - 20

⇒ CE = 9 cm

From figure,

△ CDE is right angled triangle.

By pythagoras theorem,

Hypotenuse2 = Base2 + Height2

⇒ CD2 = DE2 + CE2

⇒ CD2 = 402 + 92

⇒ CD2 = 1600 + 81

⇒ CD2 = 1681

⇒ CD = 1681\sqrt{1681}

⇒ CD = 41 cm.

Hence, option 3 is the correct option.

Answered By

3 Likes


Related Questions