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Triangles [NEW] — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsTriangles [NEW]1 Mark
MCQ
Statement-1 (A): It is not possible to construct a triangle with lengths of its sides as 9 cm , 7 cm and 17 cm .
Statement-2 (R): The difference of any two sides of a triangles is less than the third side.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
✓

Answer

Correct option: B.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
(b)
Statement-2 is true. If possible let ABC be a triangle such that AB = 9 cm, BC = 7 cm and AC = 17 cm. We find that $A B+B C \ngtr A C$. So, it is not possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm . Hence, statement -1 is true. Thus, both the statements are true but statement-2 is not a correct explanation for statement-1. Hence, option (b) is correct.

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