Which of the following cannot be the sides of a triangle?（ ）

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Which of the following cannot be the sides of a triangle?（ ）

B

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We know in a triangle the sum of lengths of two sides is always greater than the length of the third side.

Now we have, \(3cm,4cm,5cm\)

So, \(4+3 \gt 5\)

\(7 \gt 5\)

For \(2cm,4cm,6cm\)

\(2 +4 \gt 6cm\)

\(6 \gt 6cm\) Which is not possible.

For \(2.5cm,3.5cm,4.5cm\)

\(2.5+3.5 \gt 4.5\)

\(6 \gt 4.5\)

For \(2.3cm,6.4cm,5.2cm\)

\(2.3+6.4 \gt 5.2\)

\(8.9 \gt 5.2\)

Hence Correct option is b

Now we have, \(3cm,4cm,5cm\)

So, \(4+3 \gt 5\)

\(7 \gt 5\)

For \(2cm,4cm,6cm\)

\(2 +4 \gt 6cm\)

\(6 \gt 6cm\) Which is not possible.

For \(2.5cm,3.5cm,4.5cm\)

\(2.5+3.5 \gt 4.5\)

\(6 \gt 4.5\)

For \(2.3cm,6.4cm,5.2cm\)

\(2.3+6.4 \gt 5.2\)

\(8.9 \gt 5.2\)

Hence Correct option is b

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