Question

Find the area of the triangle whose vertices are (5, 1),(3,5),(5,2)

Answer 1

A = (5,1), B = (3,5), C = (5,2)

Area of triangle =

= | 5(5-2) + 3(2-1) + 5(1-5) |

= | 5(3) + 3(1) + 5(-4) |

= | 15 + 3 + (-20) |

= | 18 - 20 |

= | -2 |

= 2

Therefore, Area of triangle = 2 square.units