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18 ;" " 5 ;"First draw a diagram..": 4 ;"Now identify the right angled triangle.": 4 ;" No, try again": 4 " angled triangle" 2 ;"PRESS S" 2 ;"PRESS R": 2 ;"POST TEST" 2 ;"LESSON THREE" 2 ;" So ";l$(n,1 2 ;" For the right" 2 ;" For the right" 2 ,"2 and 3",3 2 );"=";l(n,3 2 );"=";l(n,2 2 );" so we use formula ";n: 2 " shown, where h=";h;"cm" 2 " one decimal place.": 2 " of the hypotenuse" 2 " angled triangle" 2 1 s$=s$+a$(k) 1 logo 1 file 1 Recording 1 R(c),L$(c): 1 PYTHAG3 1 Created with Ramsoft MakeTZX 1 A$="h^2-b^2") 1 A$="h^2-a^2") 1 A$="b^2+a^2" 1 A$="a^2+b^2" 1 A$="AC^2=BC^2+AB^2" 1 A$="AC^2=AB^2+BC^2" 1 A$="AC^2-BC^2") 1 A$="AC^2-AB^2") 1 ;a;"cm. " 1 ;A;"cm. " 1 ;"then we" 1 ;"the length" 1 ;"b= cm." 1 ;"a= cm." 1 ;"You scored ";8 1 ;"Yes, formula ";n: 1 ;"Yes it's ";l$(n,1 1 ;"Which formula: 1,2 or 3?": 1 ;"When entering formulae in the following exercises, enter the ' 1 ;"When you are ready for the POST TEST, press any key." 1 ;"UPPER CASE"; 1 ;"Type in file name in "; 1 ;"The symbol '^' is on the h key.": 1 ;"That completes the Post Test." 1 ;"That completes Lesson Three." 1 ;"Stop and rewind tape" 1 ;"SAVE""file"" LINE 2" 1 ;"RESULTS" 1 ;"QUESTION TWO" 1 ;"QUESTION THREE" 1 ;"QUESTION SIX" 1 ;"QUESTION SEVEN" 1 ;"QUESTION ONE" 1 ;"QUESTION EIGHT" 1 ;"QUESTION FOUR" 1 ;"QUESTION FIVE" 1 ;"PROBLEM TWO" 1 ;"PROBLEM THREE" 1 ;"PROBLEM ONE" 1 ;"PROBLEM FOUR" 1 ;"PROBLEM FIVE" 1 ;"POST TEST": 1 ;"PLEASE NOTE-"; 1 ;"PLEASE WAIT"; 1 ;"Now identify the right angled"'" triangle.": 1 ;"No, it is ";l$(n,1 1 ;"Load main program" 1 ;"Leave tape running" 1 ;"LESSON THREE": 1 ;"In this lesson you will learnsimpler forms for these form-ulae.": 1 ;"In the last two lessons you wereshown how to apply the theoremof Pythagoras, expressed as aformula, to problems where giventwo sides of a right angledtriangle ABC, you could find thelength of the third side.": 1 ;"If you would like to go over"'" LESSON THREE again, "; 1 ;"If you would like to have an-": 1 ;"Bye for now!": 1 ;"AC= cm." 1 ;"5 None of these" 1 ;"4 Right Angled" 1 ;"3 Scalene" 1 ;"2 Equilateral" 1 ;"1 Isosceles" 1 ;" of the side AB, a; " 1 ;" and the length of" 1 ;" You should now prepare for the POST TEST by working through the workbook again.": 1 ;" What is the value of ";l$(n,3 1 ;" What is the value of ";l$(n,2 1 ;" WELL DONE, I suggest you look over the programs and do the Post Test at regular intervals as suggested in the booklet." 1 ;" Therefore the ladder is 3.4m.": 1 ;" Therefore the diagonal is": 1 ;" Then have another go at this Post Test." 1 ;" The height of the triangle is"'" 8.2cm": 1 ;" The formulae were:" 1 ;" So, the foot of the ladder is"'" 4.3m from the wall.": 1 ;" So calculating to 1 dec place" 1 ;" No, which side do we want to";'" find (h, a, or b)?": 1 ;" NOW, TRY THE PROBLEMS IN EXERCISE 3e IN THE WORKBOOK." 1 ;" NOW TRY THE TWO QUESTIONS IN EXERCISE 3b IN THE WORKBOOK." 1 ;" NOW TRY THE TWO QUESTIONS IN EXERCISE 3a IN THE WORKBOOK." 1 ;" NOW TRY THE QUESTIONS IN EXERCISE 3c IN THE WORKBOOK." 1 ;" If in triangle ABC" 1 ;" Half the shorter diagonal is"'" 2.4cm, so the diagonal is"'" 4.8cm.": 1 ;" HAVE A GO AT THE QUESTIONS IN EXERCISE 3d IN THE WORKBOOK." 1 ;" Enter a number between 1 and 5" 1 ;" Enter a number between 1 and 3" 1 ;" Your answer to each question" 1 ;" You got just question ";w1;" wrong" 1 ;" This Post Test contains 8" 1 ;" The hypotenuse in" 1 ;" The theorem of Pythagoras" 1 ;" The sides of a"'" rhombus are 4.5cm"'" and the length"'" of the longest"'" diagonal is 7.6cm."'" How long is the"'" shorter diagonal?" 1 ;" The equal sides"'" of an isosceles"'" triangle are 8.6cm"'" in length and the"'" base is 5.2cm."'" Find the height of"'" the triangle." 1 ;" Now we will put these new formulae to work in a variety of different problems.": 1 ;" Not so good, you got the" 1 ;" Let's see if you" 1 ;" LOADING PROGRAM 1 ;" For the triangle" 1 ;" For the triangle" 1 ;" Find the length"'" of a diagonal of a"'" rectangle that is"'" 6cm long by 5cm"'" wide." 1 ;" Find the length" 1 ;" Because of a randomising" 1 ;" At the end you will be told" 1 ;" Again using the" 1 ;" Again a ladder,"'" this time it is 7m"'" long and leans"'" against a wall to"'" reach a window 5.5"'" metres up the"'" wall. How far is"'" the foot from the"'" wall?" 1 ;" A ladder leans"'" against a wall,its"'" foot is 1.5m from"'" the wall and it"'" reaches 3m up the"'" wall. How long is"'" the ladder?" 1 ;" The Formulae:" 1 ;" Yes ";l$(n,3 1 ;" Yes ";l$(n,2 1 ;" No ";l$(n,3 1 ;" No ";l$(n,2 1 ;" ": 1 ;" ": 1 ;" ": 1 ;" " 1 ;" ": 1 ;" " 1 ;" ";: 1 -w;" out of 8." 1 ,"2 and 3" 1 **the formulae 1 **teaching section 1 **summary of lessons 1-4 1 **space-key to continue** 1 **results** 1 **question two** 1 **question three** 1 **question six** 1 **question seven** 1 **question one** 1 **question eight** 1 **question four** 1 **question five** 1 **problem two 1 **problem three 1 **problem routine 1 **problem one 1 **problem four 1 **problem five 1 **many wrong** 1 **labelled triangle 1 **introduction** 1 **input formulae 1 **input a number 2 digits** 1 **find b** 1 **find a** 1 **ending routine** 1 **ending routine 1 **draw triangle** 1 **draw triangle hab** 1 **draw triangle PQR** 1 **draw triangle ABC** 1 **clean lines** 1 **check input of string 1 **all right** 1 **1 wrong** 1 ***number string to 1dp 1 ***draw triangles 1 ***CORE*** 1 );" ": 1 );" " 1 );" ": 1 );" " 1 (a-aa)<.05 1 '" otherwise:-"; 1 ' symbol by pressing '^'": 1 "h","a","b","a 1 "clear (y/n) ?";q$ 1 "address ? ";x 1 "Filename",a$ 1 ","b","h","a","h 1 ","a","h","b","h 1 " your score and a list of the" 1 " which is not so bad, so I" 1 " we call the length" 1 " triangle PQR, is" 1 " together with recommendations" 1 " to 1 decimal place" 1 " theorem of" 1 " the workbook." 1 " the test.": 1 " the side:-" 1 " the lengths of the" 1 " the length of b to" 1 " the length of a to" 1 " the formula-" 1 " the formula using" 1 " the right angled" 1 " suggest you look over the lessons again,studying lesson"'" ";r(w1);" carefully and then have another go at the Post Test." 1 " state the theorem" 1 " sides:-" 1 " sides, state the" 1 " sides of the right" 1 " side BC,b;": 1 " shown,complete the" 1 " shown, using the" 1 " shown, complete" 1 " questions you got wrong," 1 " questions matched to the" 1 " otherwise:-": 1 " other go at the Post Test:- ": 1 " only if that triangle is:-" 1 " of Pythagoras by" 1 " minimum objectives given in" 1 " letters h, a and b" 1 " letters a, b and h" 1 " lengths of the" 1 " know if you have answered" 1 " is checked but you will not" 1 " formulae:" 1 " formula.": 1 " formula-" 1 " for lengths of the" 1 " for future study." 1 " for the right" 1 " following questions wrong:-": 1 " following form-"'" ulae:" 1 " feature some questions will be" 1 " different each time you run" 1 " correctly until the end of the test.": 1 " completing the" 1 " can remember these"'" three formulae." 1 " can write the" 1 " applies to a triangle if and" 1 " and b is ";b;"cm, find" 1 " and a is ";aa;"cm, find" 1 " and BC is ";b;"cm." 1 " and AC for the" 1 " Pythagoras as a" 1 " ABC, where AB=";a;"cm" 1 " ABC, using AB, BC" 1 " ABC shown,complete" 1 " AB, BC and AC as" 1 " 7.8cm long.": 1 " (";c;"), so redo Lesson(s) ";L$(c) 1 Q 1 " 1 1