Question

if measurements of two sides of a triangle are 4cm,6cm ,then find distinct possible sides

Answer 1

$\underline{Given}$ : Triangle with sides 4 cm and 6cm

$\underline{To find}$: Possible length of third side

$\underline{Solution}$ :

Let the length of 3rd side be $\color{Red}{x}$

So,
4+6>x and [triangle inequality theorem]
6-4<x [triangle inequality theorem]

So, 6+4=10 and 6-4=2
. ° . The possible range of length of sides is
$\color{Green} {3<=x<=9}$

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