Question

Write the situations in which triangle can be constructed?




1 marks answer​

Answer 1

triangle can be constructed by taking its sides as 2cm 3cm 4cm

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than (not equal to) the length of the third side.

For example:- If A,B and C are the sides of a triangle then, a triangle can only be constructed when :

A+B>C

A+C>B

B+C>A

So, here each option can be easily verified to check its feasibility to make a triangle:

(A)

1.8+2.6>4.4 ..... [Doesn't Satisfies]

1.8+4.4>2.6 ..... Satisfies

2.6+4.4>1.8 ..... Satisfies

(B)

2+3>4 ..... Satisfies

2+4>3 ..... Satisfies

3+4>2 ..... Satisfies

(C)

2.4+2.4=4.8>6.4 ..... [Doesn't Satisfies]

2.4+6.4=9.0>6.4 ..... Satisfies

(D)

3.2+2.3=5.5>5.5 ..... [Doesn't Satisfies]

Hence, option B is correct and its sides can be used to construct a triangle.