Question

prove that the points a (1, -3), b (-3, 0) and c (4, 1) are the vertices of an isosceles right angled triangle find the area of the triangle​

Answer 1

Answer:

- 10.5

Step-by-step explanation:

W.K.T,

area of triangle =

1/2 |x1 (y2-y3) +x2 (y3 - y1) +x3 (y1-y2) |

Let, (1,-3)=(x1,y1)=a

(-3,0)=(x2,y2)=b

(4,1)=(x3,y3)=c

= 1/2 | 1 (0-(-3)) + (-3) (1-(-3)) +4 (-3-0)|

= 1/2| 1 (3) +(-3) (4) + 4(-3)|

= 1/2 | 3 - 12 - 12|

= 1/2| 3 - 24 |

= 1/2| - 21|

= - 10.5