Page 66 - WCS - Electrical
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h
  19.44
 5.4
 =
      h =   19.44  x  2  x  2
 = 7.2 m  5.4
 = 7.2 m
 13 Calculate the base of a right angled triangle having an  WORKSHOP CALCULATION & SCIENCE - CITS
 area of 15 cm .  If its height is 3.5 cm.
 2
 13 Calculate the base of a right angled triangle having an
 area of 15 cm .  If its height is 3.5 cm.
 2
 1    x base x height unit 2  = Area
 2  1    x base x height unit 2  = Area  2  What is the length of the hypotenuse of a right angled triangle, when the sides containing the right angles are
            2 What is the length of the hypotenuse of a right angled
 2  1         10 cm and 12 cm.
               triangle, when the sides containing the right angles
    x b x 3.5  = 15  2 What is the length of the hypotenuse of a right angled
                  triangle, when the sides containing the right angles
 2  1    x b x 3.5  = 15  are 10 cm and 12 cm.
 2     x 15  2    are 10 cm and 12 cm.
      b  =      x 15  2
 3.5
      b  =
 3.5
 = 8.57 cm
 = 8.57 cm
 Pythagoras theorem
 Pythagoras theorem
 In a right angled triangle the area of the square drawn with
 the hypotenuse as the side is equal to the sum of the
 In a right angled triangle the area of the square drawn with
 areas of the squares drawn with the other two sides.
 the hypotenuse as the side is equal to the sum of the
 areas of the squares drawn with the other two sides.  As per pythagoras theorem,
            As per pythagoras theorem,
               As per pythagoras theorem,
                    AC
                           = AB  + BC
                               2
                      2
                                     2
                              = AB  + BC
                      AC 2  = 10  + 12 2  2
                                  2
                               2
                              = 10  + 12
                                 2
                           = 100 + 144  2
                              = 100 + 144
                           = 244
                              = 244
                    AC     =    244
                       AC     =    244
                           = 15.62 cm
                              = 15.62 cm
            3 Find the height of a right angled triangle whose base is
   B∠  = 90º  3  Find the height of a right angled triangle whose base is 15 cm and hypotenuse is 21 cm.
               15 cm and hypotenuse is 21 cm.
               3 Find the height of a right angled triangle whose base is
 = 90º
 AC   B∠  = Hypotenuse  15 cm and hypotenuse is 21 cm.
 = Hypotenuse
 AC
         AB & BC = Adjacent sides
         AB & BC = Adjacent sides
 As per pythagoras theorem,
 As per pythagoras theorem,
 = AB  + BC
 AC
 2
 2
 2
 AC 2  = AB  + BC 2
 2

 2
 ∴  AC  =  AB + BC 2

 2
 ∴  AC  =  AB + BC 2
 1 Calculate the hypotenuse of a right angled triangle
 whose base is 5 cm and height is 12 cm.
 1 Calculate the hypotenuse of a right angled triangle
 whose base is 5 cm and height is 12 cm.
 As per pythagoras theorem,  As per pythagoras theorem,
              As per pythagoras theorem,
 As per pythagoras theorem,            AB  + BC = AC 2
 AC
               As per pythagoras theorem,
 = AB  + BC
 2
 2
 2
                           2
                     2
 = AB  + BC
 AC 2  = 12  + 5 2 2  2            AB  + 15 2  = 21 2  2
                         AB  + BC = AC
                             2
 2
                        2
                     2
 = 12  + 5
 2
                               = 21
 = 144 + 25  2            AB  + 15 = 441 - 225
                             2
                                   2
                        2
                       AB
                          2
 = 144 + 25
                               = 441 - 225
 = 169                    AB = 216
                             2
 = 169                         = 216
   AC  =    169          AB =    216
   AC  =    169             AB =
                                   216
 = 13 cm                     = 14.7 cm
 = 13 cm                       = 14.7 cm
 WCS - Electrician & Wireman : (NSQF - Revised 2022) - 1  Year : Exercise 1.7.25  63
                          st
 WCS - Electrician & Wireman : (NSQF - Revised 2022) - 1  Year : Exercise 1.7.25  63
                             st
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                                            CITS : WCS - Electrical - Exercise 5
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