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

  • question_answer
    The given figure shows an isosceles \[\Delta ABC\] with\[AB=BC\]. Sides BC and AC are extended to S and T respectively, such that CS and CT along with ST form sides of \[\Delta CST\]. How can \[\Delta CST\] be classified

    A)  Acute - angled and scalene         

    B)  Acute - angled and isosceles

    C)  Right - angled and scalene         

    D)  Right - angled and isosceles

    Correct Answer: C

    Solution :

    (c): Since \[\Delta ABC\]  is isosceles \[\therefore \angle ACB=35{}^\circ \] Now, \[\angle TCS=35{}^\circ \] (vertically oppositely) \[\therefore \,TSC=55{}^\circ \therefore \,CTS=180{}^\circ -55{}^\circ -35{}^\circ =90{}^\circ \]


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