Question

Find the area of a triangle with vertices: A(O, -3), B(5, 0), C(o, 3).

Answer 1

Step-by-step explanation:

☑ the formula of area of triangle ,when coordinates of three vertices are given is

☑ area =

[A x ( B y − C y ) + B x ( C y − A y ) + C x ( A y − B y ) ]/2

let the coordinates of triangles are

A(0,-3)= (Ax, Ay)

B(5,0)=(Bx, By)

c(0,3) = (Cx, Cy)

therefore ,put the values in formula

Area of triangle =

=[0(0-3)+5(3- (-3))+0(-3-(0))]

= [0 + 30 + 0]

= 30

therefore area of triangle is

$\boxed{\textbf{\large{30}}}$