Question

Matlab Question (Matlab Grader)

Where indicated at the bottom of the script. write a function, called isright, that takes three inputs, a, b, and c, and determines whether they are could be the lengths of the sides of a right triangle; the output, y, will be set equal to the following:

i). -1 if at least one of the values is not positive. Also, only for this case, have the function print out an error message, which states "At least one of the inputs is not positive." (use the fprintf command instead of the error command).

ii). 1 if the three values could be the lengths of 3 sides of a right triangle; you will need the Pythagorean Theorem. (Note c doesn't necessarily have to be the hypotenuse with a and b the legs - they could potentially be any sides of the triangle).

iii). 0 if all three values are positive, butt they are not the right lengths.

Use one if statement that contains one elseif and one else in your code instead of individual if statements for each case, to minimize the number of logical comparisons.

note that the script is set up to call and test your function.

Answer 1

Function satisfying all three cases is as follows:

function y = isright (a,b,c)    % here a,b,c are the inputs , y is the output
if ( (a<0) | (b<0) | (c<0) )   %test for negative values
    y= -1;                 %set y= -1

%test for any possible combimation that satisfies pythagorean theorem
elseif ((a*a == b*b+c*c) | ( b*b == c*c + a*a) | (c*c == a*a + b*b))
    y=1;                        %set y=1                                             
else
    y=0;                        %set y=0
end
end

The above function first checks for negative value if any of the three (a,b,c) is negative then it'll set y=-1,

elseif they satisfies Pythagorean theorem in any combination then it sets y=1,

otherwise set y=0

sample output: