Question

the area of triangle formed by joining the points A(2,0),B(6,0),C(2,4) on the graph is​

Answer 1

The answer is given below :

FORMULA :

If (a,b), (c,d) and (e,f) be the vertices of the triangle, the area of the triangle be

... | a b 1 |

= 1/2 | c d 1 | square units.

... | e f 1 |

SOLUTION :

The given points are (2,0), (6,0) and (4,6).

So, the area of the triangle ABC is

..| 2 0 1 |

= 1/2 | 6 0 1 |

... | 4 6 1 |

= 1/2 [ 6(6 - 2) ], expanding along the 2nd column and taking the positive value.

= 1/2 ( 6 × 4 )

= 12 square units.

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