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.
    Assertion (A) : \((\sqrt{3} + \sqrt{5})\) is an irrational number.
    Reason (R) : Sum of the any two irrational numbers is always irrational.

      • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
      • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
      • Assertion (A) is true, but Reason (R) is false.
      • Assertion (A) is false, but Reason (R) is true.

    • 2.
      The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


        • 3.
          Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.


            • 4.
              PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

                • \(a^2 + (a + 2)^2 = (2b)^2\)
                • \(b^2 = a + 4\)
                • \(2a^2 + 1 = b^2\)
                • \(b^2 = a + 1\)

              • 5.
                Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)


                  • 6.
                    A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

                      • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
                      • \(314\) \(\text{cm}^{2}\)
                      • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
                      • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)

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