1.

The area of the ΔAOB having vertices A(0, 6), O(0,0), and B(6, 0) is a) 12 sq. unitsb) 36 sq. unitsc) 18 sq. unitsd) 24 sq. units​

Answer»

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Given:-

Vertices, A(0,6) , O(0,0) , B(6,0)

To FIND:-

Area of triangle.

Solution:-

Area Of triangle = {\frac{1}{2}} | x1(y2-y3) + x2(y3-y1) + x3(y1-y2) |

Where,

x1=0 , y1=6

x2=0 , y2=0

x3=6 , y3=0

Area => {\frac{1}{2}} | 0(0-0) + 0(0-6) + 6(6-0) |

=> {\frac{1}{2}} | 0+0+36 |

=> {\frac{1}{2}} × 36

=> 18

Which is the required answer.

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