NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.1

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NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.1 is provided in this article. Class 10 Maths Chapter 6 Triangles cover important concepts like the similarity of triangles, congruence of triangles and Pythagoras theorem. Chapter 6 Triangles Exercise 6.1 mainly includes questions based on the concept of similarity between two figures. 

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CBSE X Related Questions

1.
Find the sums given below :
  1. \(7 + 10\frac 12+ 14 + ....... + 84\)
  2. \(34 + 32 + 30 + ....... + 10\)
  3. \(–5 + (–8) + (–11) + ....... + (–230)\)

      2.
      If 3 cot A = 4, check whether \(\frac{(1-\text{tan}^2 A)}{(1+\text{tan}^2 A)}\) = cos2 A – sinA or not

          3.

          Solve the following pair of linear equations by the substitution method. 
          (i) x + y = 14 
              x – y = 4   

          (ii) s – t = 3 
              \(\frac{s}{3} + \frac{t}{2}\) =6 

          (iii) 3x – y = 3 
                9x – 3y = 9

          (iv) 0.2x + 0.3y = 1.3 
               0.4x + 0.5y = 2.3 

          (v)\(\sqrt2x\) + \(\sqrt3y\)=0
              \(\sqrt3x\) - \(\sqrt8y\) = 0

          (vi) \(\frac{3x}{2} - \frac{5y}{3}\) =-2,
              \(\frac{ x}{3} + \frac{y}{2}\) = \(\frac{ 13}{6}\)

              4.

              Prove the following identities, where the angles involved are acute angles for which the expressions are defined:\(\frac{(\text{1 + tan² A})}{(\text{1 + cot² A})} = (\frac{\text{1 - tan A }}{\text{ 1 - cot A}})^²= \text{tan² A}\)

                  5.

                  The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them

                  Monthly consumption 
                  (in units)

                   Number of consumers

                  65 - 85 

                  4

                  85 - 105

                  5

                  105 - 125

                  13

                  125 - 145

                  20

                  145 - 165

                  14

                  165 - 185

                  8

                  185 - 205

                  4

                      6.
                      A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

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