Computing the Area of a Triangle Given Its Corner Points:

$$ Use the template code Lab$9$Template.java for this exercise. Its main method

$$ creates a $2-$D array with $3$ rows and $2$ columns,

$$ reads the corner point coordinates of a triangle $($A$($x$1$

$,$ y$1$

$),$ B$($x$2$

$,$ y$2$

$)$ and C$($x$3$

$,$ y$3$

$))$ from

the user into the $2-$D array then prints these corner point coordinates,

$$ computes then prints the side lengths of the triangle $($a$,$ b and c$)$ from its corner points,

$$ and computes then prints the area of the triangle using the Heron's formula.

$$ Note: The last two methods described below are used in the main method.

$$ Write a method that

$$ has the header public static double distance$($double$[]$ point$1,$ double$[]$ point$2)$

$$ and computes then returns the Euclidean distance between the two points whose

coordinates are given as two arrays $($point$1=\{$x$1,$ y$1\}$ and point$2=\{$x$2,$ y$2\}).$

$$ Write a second method that

$$ has the header public static double$[]$ computeSideLengths$($double$[][]$ cornerPoints$),$

$$ computes the side lengths of a triangle by using the distance method explained above,

stores the result in an array and returns the array.

$$ The corner points of the triangle are given to the method as a $2-$D array $($cornerPoints$).$

$$ Write a third method that

$$ has the header public static double computeArea$($double$[]$ sideLengths$)$

$$ and uses the Heron$$s formula $($given on the right$)$ to compute then return the area of the

triangle whose side lengths are given as an array $($sideLengths$).$