In $△$ PQR, PQ = 4cm and QR = 6cm, what can be the length of third side PR ?

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Solution

keep in mind $,$
Sum of two sides of triangle must be greater than third side $.$
$1. P Q + Q R > P R$
$4 + 6 > P R$
$P R < 10 c m$
$2. P Q + P R > Q R$
$4 + P R > 6$
$P R > 6 - 4$
$P R > 2 c m$
$3. Q R + P R > P Q$
$6 + P R > 4$ -----No $,$ Possible value of PR $.$
So $,$ Value of PR should be $, 2 c m < P R < 10 c m$

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