Question

The area of the ΔAOB having vertices A(0, 6), O(0,0), and B(6, 0) is

a) 12 sq. units
b) 36 sq. units
c) 18 sq. units
d) 24 sq. units
​

Answer 1

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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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