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Triangles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsTriangles1 Mark
MCQ
In a $\triangle\text{ABC},$ if $​\angle\text{B} = ​\angle\text{C} = 45^\circ,$ which is the longest side?
  • A
    AC
  • B
    None of these.
  • C
    BC
  • D
    CA
✓

Answer

  1. BC
    Solution:
    We know that sum of all angles of a triangle is 180°
    $\angle\text{A} + \angle\text{B} + \angle\text{C} = 180^\circ$
    $\angle\text{B} = \angle\text{C} = 45^\circ$
    $\angle\text{A} + 45^\circ + 45^\circ = 180^\circ$
    $\angle\text{A} + 90^\circ = 180^\circ$
    $\angle\text{A} = 180^\circ - 90^\circ$
    $\angle\text{A} = 90^\circ$
    So, angle A is the largest and the side opposite to the greatest angle is the longest so, side BC is the longest.

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