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What is the Area of the Triangle Formed by the Points O (0, 0), a (6, 0) and B (0, 4)?

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Question

What is the area of the triangle formed by the points O (0, 0), A (6, 0) and B (0, 4)?

 
Short/Brief Note
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Solution

The given triangle ΔOAB   is a right angled triangle, right angled at O. the co-ordinates of the vertices are O (0, 0) A (6, 0) and B (0, 4).

So,

Altitude is 6 units and base is 4 units.

Therefore,

 ar ( ΔOAB ) = `1/2` (Base )( Altitude ) 

                 `= 1/2 `( 4 ) ( 6 ) sq . units 

                  = 12  sq . units 

 

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Chapter 6: Co-ordinate Geometry - Exercise 6.6 [Page 61]

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R.D. Sharma Mathematics [English] Class 10
Chapter 6 Co-ordinate Geometry
Exercise 6.6 | Q 7 | Page 61
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