Question

Which of the following will form the sides of a triangle

(i) $23cm,17cm,8cm$ (ii) $12cm,10cm,25cm$, (iii) $9cm,7cm,16cm$

Answer 1

(i) $23cm,17cm,8cm$ are the given lengths.

Here $23+17>8,17+8>23$ and $23+8>17$

$\therefore$ $23cm,17cm,8cm$ will form the sides of a triangle.

(ii) $12cm.10cm,25cm$ are the given lengths.

Here $12+10$ is not greater than $25$ i.e., $[12+10\ngtr 25]$

$\therefore$ $12cm,10cm,25cm$ will not form the sides of a triangle.

(iii) $9cm,7cm,16cm$ are given lengths $9+7$ is not greater than $16$

i.e., $[9+7=16,9+7\ngtr 16]$

$\therefore$ $9cm,7cm$ and $16cm$ will not be the sides of a triangle.