Question

question
do the three lengths form a triangle? type yes or no.
you only have one attempt at this question, dont just guess! having someone else tell you if its yes or no will also not be useful to you come test day.
10.5 ,\frac{66.5}{7} ,20

Explanation:

Step1: Simplify the second length

First, simplify $\frac{66.5}{7}=9.5$.

Step2: Apply triangle - inequality theorem

The triangle - inequality theorem states that for three side - lengths $a$, $b$, and $c$ of a triangle, $a + b>c$, $a + c>b$, and $b + c>a$. Let $a = 9.5$, $b = 10.5$, and $c = 20$. Then $a + b=9.5 + 10.5=20$, and $20 = c$. According to the triangle - inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since $a + b$ is not greater than $c$, these three lengths do not form a triangle.

Answer:

NO