Question

Is it possible to have a triangle with the side 3cm ,4cm,5cm?write reason?

Answer 1

$3 + 4 > 5 \\ 9 > 5 \\ 4 + 5 > 3 \\ 9 > 3 \\ 3 + 4 > 5 \\ 7 > 5$
yes because it is scalene triangle

Answer 2

Answer:

$\green { Yes }$

$\blue { It \: is \: possible\:to \: have \: a }$

$\blue { triangle \: with \: given \: measures }$

Step-by-step explanation:

$Let \: a , b \: and \: c \: are \: three \: sides \\of \: a \: triangle$

$\underline { \blue { By \:Theorem }}$

$\pink { The \: sum \: of \: any \: two \: sides }$

$\pink { of \:a \: triangle \: is \: greater \: than }$

$\pink { third \:side }$

$Here, a = 3 \:cm , \: b = 4\:cm ,\\c = 5\:cm$

$a + b = 3 + 4 = 7 > c$

$b + c = 4 + 5 = 9 > a$

$c + a = 5 + 3 = 8 > b$

Therefore.,

$\green { Yes }$

$\blue { It \: is \: possible\:to \: have \: a }$

$\blue { triangle \: with \: given \: measures }$

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