NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.5 Solutions

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NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.5 Solutions are based on the summary of previous exercises, like SAS Congruence Rule, ASA Congruence Rule, AAS Congruence Rule, SSS Congruence Rule, RHS Congruence Rule and Properties of Triangle.

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CBSE X Related Questions

  • 1.

    There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.


      • 2.
        Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
        (i) $pqr + 1$ is a composite number
        (ii) $pqr + 1$ is a prime number


          • 3.
            In \(\triangle ABC, DE || BC\). If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1) cm and DB = 3 cm, then value of x is
             △ABC,DE||BC. If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1)

              • 1
              • \(\frac{1}{2}\)
              • --1
              • \(\frac{1}{3}\)

            • 4.
              Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).


                • 5.
                  In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]


                    • 6.
                      The perimeters of two similar triangles are 22 cm and 33 cm respectively. If one side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle.

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