Question

Two sides of a triangle mesure 20cm and 30cm. What is the measure of the third side

Answer 1

Answer:

All real numbers greater than $10\ cm$ and less than $50\ cm$

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

c-----> the length of the third side

Applying the theorem

case A)

$20+30> c\\50> c\\ c< 50\ cm$

case B)

$20+c > 30\\c > 30-20\\c> 10\ cm$

The solution for the measure of the third side of the triangle is the interval

$(10,50)$

All real numbers greater than $10\ cm$ and less than $50\ cm$