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+--- Thread: Trapezoid Midsegment, Height, Area (/thread-8557.html)
Trapezoid Midsegment, Height, Area - Eddie W. Shore - 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
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:
RE: Trapezoid Midsegment, Height, Area - PedroLeiva - 06-24-2017 02:45 PM
(06-24-2017 02:32 AM)Eddie W. Shore Wrote: The program TRAPEZ calculates the following:Hello Eddie, my calculations with Excel give me H=413,249319, just a 2 instead of 9
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:
RE: Trapezoid Midsegment, Height, Area - SlideRule - 06-25-2017 01:05 AM
(06-24-2017 02:32 AM)Eddie W. Shore Wrote: ... TRAPEZ calculates ... Area = [(A + B)/2] * [√( (-A+B+C+D)(A-B+C+D)(A-B+C-D)(A-B-C+D) )/(2 * abs(B-A))]
Another equation for the area when the only givens of a trapezoid are the four sides (a,b,c,d);
[attachment=4985]
BEST!
SlideRule
RE: Trapezoid Midsegment, Height, Area - StephenG1CMZ - 10-02-2017 10:12 PM
It may be worth pointing out that a trapezoid is one of those words whose meaning varies regionally...so one always needs to know (or guess) which trapezoid is which.
https://english.stackexchange.com/questions/65259/trapezium-trapezoid-why-are-the-us-uk-definitions-swapped-around