Question

The length of two sides of a triangle are 12 cm and 15 CM. Between what measure should the length of third side fall?

Answer 1

the 3rd side should be of

0.1cm to 25cm

Step-by-step explanation:

otherwise it thi will not form a triangle but a straight line

Answer 2

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The length of two sides of a triangle are 12 cm and 15 CM. Between what measure should the length of third side fall?

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Let x cm be the length of the third side.

Sum of the lengths of any two sides of a triangle is greater than the length of the third side.

We should have,

$\sf \implies12 + 15 > x$

$\sf \implies 27 > x$

$\sf\implies x < 27$

$\sf\implies15 + x > 12$

$\sf\implies x > 12 - 15$

$\sf\implies x > -3$

$\sf\implies x + 12 > 15$

$\sf\implies x > 15 - 12$

$\sf\implies x > 3$

$\sf\implies x > - 3\: and\: x > 3$

$\sf\implies x > 3$

∴ The length of the third side should be any length between 3 cm and 27 cm.