Question

Try to construct a triangle with $5cm,8cm$ and $1cm$. Is it possible or not? Why?Give your justification?

Answer 1

Given

$a=5cm$

$b=8cm$

$c=1cm$

The concept behind this is sum of two sides is always greater than 3rd side.

Then $a+b>c=5+8>1$

$b+c>a=8+1>5$

$c+a>b=1+5>8$ (This is not right )

Then we do not construct a triangle with sides $5cm$ ,8 cm$and$1 $cm$