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Which of the following cannot be the sides of a triangle?（ ）
A. $$3cm,4cm,5cm$$
B. $$2cm,4cm,6cm$$
C. $$2.5cm,3.5cm,4.5cm$$
D. $$2.3cm,6.4cm,5.2cm$$
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## QuestionMathsClass 7

Which of the following cannot be the sides of a triangle?（ ）
A. $$3cm,4cm,5cm$$
B. $$2cm,4cm,6cm$$
C. $$2.5cm,3.5cm,4.5cm$$
D. $$2.3cm,6.4cm,5.2cm$$

B
4.6
4.6

## Solution

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