Page 62 - Mathematics Class - X
P. 62

Viva-Voce




          1.  Name the ancient Indian mathematician who mentioned the same theorem as Pythagoras.
          Ans.  Baudhayan in 1000 BC.
          2.  The Pythagoras theorem is a relationship between the lengths of the sides of what kind of triangles?
          Ans.  Right-Angled Triangle

          3.  Is 50, 100 and 80 a Pythagorean triplet?
          Ans.  No, it’s not a Pythagorean triplet.
          4.  A man goes 10 m due east and then 24 m due north. Find the distance from starting point.
          Ans.  Since a right angled triangle is formed, by Pythagoras theorem

              AC  =  AB  + BC            ⇒ AC  = 10 m  + 24 m    2
                  2
                                                        2
                                                     2
                         2
                                2
                                                              2
                                                2
                                                                                                                  m
                                                                                2
              AC  =  100 m  + 576 m      ⇒ AC  = 676 m         ⇒  AC =  676 m = 26 m
                  2
                            2
                                                         2
                                                2
                                     2
          5.  State the converse of Pythagoras theorem.                                                  m
          Ans.  If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the
              third side, then the triangle is a right-angled triangle.
                                                          MCQs
                                                                               A
          1.  What is the approximate measure of the missing length (AC)?
              a)  55 m                b)  57 m
              c)  63 m                d)  71 m                                                           C

                                                                               B
          2.  Ms. Lalita drove about 150 km east from City A, to City B. She drove about another 75 km north to City C.
              What is the approximate air distance from City A to City C?
              a)  160 km              b)  168 km              c)  175 km             d)  225 km

          3.  What is the measure of the missing length (AC) in fig. (i) ?
              a)  13 4                b) 4  13                                   A


              c)  2 13                d)  6 13

          4.  What is the area of square C in fig. (ii)?

              a)  90 cm 2             b)  1960 cm 2   B                                    C
              c)  2009 cm             d)  3969 cm 2                   Fig. (i)                         Fig. (ii)
                          2

          5.  If the three sides of a triangle are a, √3a, √2a, then the measure of the angle opposite to the longest side is
              a)  45°                 b)  30°                 c)  60°                d)  90°


        Answers:  1. a) 55     2. b) 168 km      3. b)  4  13         4. c) 2009 cm 2            5. d) 90°

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