Question

The lengths of two sides of a triangle are 6cm and 9cm. Write all possible lengths
of the third side.
BER
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Answer 1

Solution :-

$\: \: \: \: \: \:$

According to triangle inequality, the third side s lies in the interval:

$\: \: \: \: \: \:$

$\implies \sf\blue{s∈(∣6−9∣,6+9)} \\ \implies \sf\blue{s∈(3,15)}$

$\sf\red{If \: s \: has \: to \: be \: an \: integer, \: then \: all \: the \: possible} \\ \sf\red{lengths \: are:}$

4 cm, 5 cm, 6 cm, 7 cm, 8 cm, 9 cm, 10 cm, 11 cm,12 cm, 13 cm, 14 cm

$\: \: \: \: \: \:$

$\boxed {\sf{\purple{Hence \: Solved!}}}$

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