HP 35S: Trapezoid
Analysis (Daniel Pedro Levia)
Have some time to squeeze in a post. Much thanks to Daniel Pedro Levia.
Introduction
Given the trapezoid below:
The following are calculated:
Midsegment length: (A + B)/2
Height: √(
(-A+B+C+D)(A-B+C+D)(A-B+C-D)(A-B-C+D) )/(2 * abs(B-A))
Area: M * H
HP 35S Program:
Trapezoid – Pedro Daniel Leiva
Here is the program for the HP 35S, written by Pedro Daniel
Levia. The program is listed with permission of the
author.
Variables Used:
R_A = length of side A
R_B = length of side B
R_C = length of side C
R_D = length of side D
R_H = height
R_M = mid-length
R_K = area
R_P = perimeter
Program:
T001 LBL T
T002 STO D
T003 R ↓
T004 STO C
T005 R ↓
T006 STO B
T007 R ↓
T008 STO A
T009 SQRT((-A+B+C+D)*(A-B+C+D)*(A-B+C-D)*(A-B-C+D))/(2*ABS(B-A))
// EQN
T010 STO H
T011 (A+B)/2 // EQN
T012 STO M
T013 STOP // R/S
T014 RCL M
T015 RCL H
T016 ×
T017 STO K
T018 A+B+C+D // EQN
T019 STO P
T020 RTN
20 steps
Instructions: Enter
the length of all four sides then run the program.
A [ENTER] B [ENTER] C [ENTER] D [XEQ] T [ENTER]
The height and midlength are shown first (Y and X stack,
respectively). Press [R/S] to get the
area and perimeter.
Example:
A = 400
B = 350
C = 125
D = 106
Results:
Height: 104.3032
Midlength: 375.0000
Area: 39113.7186
Perimeter: 981.0000
Eddie
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