Question

find the area of triangle formed by the points (0,0)(4,0)(4,3) by using HERONS FORMULA

Answer 1

distance formula then herons

Answer 2

a= distance between point (0,0) and (4,0)

$a=\sqrt{(4-0)^2 -(0-0)^2 } =4$

$b=\sqrt{(4-4)^2 -(3-0)^2 } =3$

$c=\sqrt{(4-0)^2 -(3-0)^2 } =5$

$s = \frac{a+b+c}{2} = \frac{4+3+5}{2} =6$

$A =\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{6 *(6-4)*(6-3)*(6-5)} =6$