06-24-2017, 02:32 AM
The program TRAPEZ calculates the following:
Midsegment length: M = (A + B)/2
Height: H = √( (-A+B+C+D)(A-B+C+D)(A-B+C-D)(A-B-C+D) )/(2 * abs(B-A))
Area: K = M * H
HP Prime Program TRAPEZ
Example
A = 13, B = 23, C = 6, D = 7
Results:
Midlength, M = 18
Height, H = 4.139493194
Area, A = 74.3848775
Source:
“Trapezoid” Wikipedia. Edited July 7, 2014. Retrieved July 8, 2014
Current page:
Midsegment length: M = (A + B)/2
Height: H = √( (-A+B+C+D)(A-B+C+D)(A-B+C-D)(A-B-C+D) )/(2 * abs(B-A))
Area: K = M * H
HP Prime Program TRAPEZ
Code:
EXPORT TRAPEZ()
BEGIN
// trapezoid
// 2017-06-23 EWS
INPUT({A,B,C,D},
"Trapezoid",
{"a: ","b: ","c: ","d: "},
{"Top","Bottom","Left","Right"});
M:=(A+B)/2;
I:=(−A+B+C+D)*(A-B+C+D)*(A-B+C-D)*
(A-B-C+D);
IF I≤0 THEN
PRINT();
PRINT("Invalid Trapezoid");
ELSE
H:=√(I)/(2*ABS(B-A));
K:=H*M;
PRINT();
PRINT("Midlength = "+M);
PRINT("Height = "+H);
PRINT("Area = "+K);
END;
END;
Example
A = 13, B = 23, C = 6, D = 7
Results:
Midlength, M = 18
Height, H = 4.139493194
Area, A = 74.3848775
Source:
“Trapezoid” Wikipedia. Edited July 7, 2014. Retrieved July 8, 2014
Current page: