Matlab Apply the Pythagorean identity by computing hypotenuse lengths from known short side lengths, and display the results.

$($i$)$ Define individual values to the short side lengths, using variables named a and $b.$ Compute the hypotenuse length, naming it $c.$ Use the disp function to say "The short sides have lengths:", then display the variables. Then, use the disp statement to say "The hypotenuse has a length of$",$ then display the computed variable.

$($ii$)$ Carry out the above, but instead of using a and $b,$ use variables $av$ and $bv,$ and define $246016],$ respectively. Carry out the computation as before, but ensure that can be done in "vectorized" fashion. Modify the disp statements to express that you are displaying sets of shortest$-$side values, corresponding second$-$shortest side values, and the respective hypotenuse lengths.

$($iii$)$ Introduce a vector of test hypotenuse values $-$ call it $c_{-}$test $-$ defined as $12402564,16.$ Create a vector of logical values that will be $1$ if the corresponding elements of vectors $av$ and $bv$ form pythagorean triples with the corresponding elements of $c_{-}$test.

Note: The output will appear somewhat crude. Later in the course, we will see how all the data can be displayed neatly.