Question

6 a triangle has one side of length 12 inches and another side of length 20 inches. describe the possible lengths of the third side.

Explanation:

Step1: Aplicar la desigualdad triangular

La desigualdad triangular dice que para un triángulo con lados \(a\), \(b\) y \(c\), se cumple \(|a - b|\lt c\lt a + b\). Aquí \(a = 12\) e \(b = 20\).

Step2: Calcular \(|a - b|\)

\(|12 - 20|=|- 8| = 8\)

Step3: Calcular \(a + b\)

\(12+20 = 32\)

Answer:

El lado tercero \(x\) satisface \(8\lt x\lt32\)