7th Class Mathematics The Triangle and its Properties Question Bank The Triangle and Its Properties

  • question_answer
    State T for true and T' for false.         
    (i) In the given right-angled triangle; \[ABC,\text{ }\angle B={{65}^{o}},\text{ }\angle C={{25}^{o}},\]then \[A{{B}^{2}}=B{{C}^{2}}+C{{A}^{2}}\].                    
    (ii)  The length of the third side of a triangle cannot be smaller than the difference of the lengths of any two sides.                             
    (iii) A triangle can have only one median.
               

    A)
    (i) (ii) (iii)
    F F T
                   

    B)
    (i) (ii) (iii)
    F T F
                   

    C)
    (i) (ii) (iii)
    F T T
                   

    D)
    (i) (ii) (iii)
    F F F

    Correct Answer: D

    Solution :

    (i) In the given right angled triangle, \[B{{C}^{2}}=A{{B}^{2}}+A{{C}^{2}}\] (ii) The length of the third side of a triangle is always greater than the difference of lengths of any two sides. (iii) A triangle can have three medians.


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