Question

The lengths of two sides of a triangle are 12 cm and 15 cm between what measure should line length of the third side fall​

Answer 1

$\small\underline\bold{ ANSWER \: - }$

$\pink {\dagger \: suppose \: \: the \: triangle \: - \triangle \: ABC \: }$

$\pink{\dagger \: let \: the \: sides \: be -AB , BC , CA }$

$\star \: \small\fbox{given - }$

$\green{\star \: AB = 12 cm } \\ </p><p> \green{ \star \: BC = 15 cm }</p><p>$

$\small\fbox{find - }$

$\green{ \star \: the \: third \: side \: CA}$

As we know that - CA = AB - BC

CA = 15-12

CA = 3 cm

AND

CA = AB + BC

= 15 + 12

CA = 27 cm

$\purple{\hookrightarrow \: so \: the \: third \: side \: CA \: must \: lie \: between \: 3 < CA < 27 \: cm}$

________________________________

Answer 2

Step-by-step explanation:

$\small\underline\bold{ ANSWER \: - }$

$\pink {\dagger \: suppose \: \: the \: triangle \: - \triangle \: ABC \: }$

$\pink{\dagger \: let \: the \: sides \: be -AB , BC , CA }$

$\star \: \small\fbox{given - }$

$\green{\star \: AB = 12 cm } \\ </p><p> \green{ \star \: BC = 15 cm }</p><p>$

$\small\fbox{find - }$

$\green{ \star \: the \: third \: side \: CA}$

As we know that - CA = AB - BC

CA = 15-12

CA = 3 cm

AND

CA = AB + BC

= 15 + 12

CA = 27 cm

$\purple{\hookrightarrow \: so \: the \: third \: side \: CA \: must \: lie \: between \: 3 < CA < 27 \: cm}$

________________________________