Statement-1 (A): It is possible to construct a triangle with leng… - Vidyadip

MCQ

Statement-1 (A): It is possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm .
Statement-2 (R): The sum of any two sides of a triangle is greater than the third side.

✓
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B
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: A.

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

(a)
Statement-2 is true. If possible, let ABC be a triangle such that AB = 8 cm, BC = 7 cm and AC = 4 cm. We find that these lengths satisfy $A B+B C>A C, B C+C A>A B$ and $A C+A B>B C$. Hence, it is possible to construct a triangle with lengths of its sides as 8 cm, 7 cm, and 4 cm . So, statement-1 is true. Also, statement-2 is a correct explanation for statement- 1 .
Hence, option (a) is correct.

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