Question

Four line segments and their lengths are shown below. 3 cm E - Sem 12 cm 15 cm F Three of the line ocgmento will be used to form a triangle. Which lists all of the possible groups of the lengths of the line segments that could be used to form a triangle? A. 3 cm 12 cm 15 cm B. Scm 12cm 15 cm C. 3 cm 8cm 12 cm 3 cm 8 cm 15 cm D. 3 cm 8 cm 12 cm 3 cm 8cm 15 cm 3 cm 12 cm 15 cm 8 cm 12 cm 15 cm

Answer 1

$\begin{gathered} \text{For making a triangle, } \\ the\text{ sum of two sides must be greater than the third side.} \\ So, \\ A. \\ 3,12,15\Rightarrow12+3=15\Rightarrow it\text{ will not make triangle} \\ B\text{.} \\ 8,12,15\Rightarrow8+12>15\Rightarrow20>15\Rightarrow It\text{ will construct triangle} \\ C\text{.} \\ By\text{ the same condition,it will also not construct triangle.} \\ D. \\ only\text{ last part of it constuct a triangle,which is 8,12,15} \end{gathered}$