189k views
3 votes
Determine if the side lengths could form a triangle. Use an inequality to prove the answer. Inequality must be used.

Determine if the side lengths could form a triangle. Use an inequality to prove the-example-1
User Finglas
by
7.1k points

1 Answer

7 votes

Answer:

The side lengths given form a triangle

Step-by-step explanation:

Let the lengths of the sides of the triangle be "a", "b" and "c"

For the length to form sides of a triangle, the sum of any two sides of the triangle must be greater than the third as shown:


\begin{gathered} a+b>c \\ a+c>b \\ b+c>a \end{gathered}

Given the sides of the triangle as 34km, 27km, and 58km

Let a = 34km, b = 27km and c = 58km

Substituting these values in the expression above to check if it is true:


\begin{gathered} 34+27=61>58 \\ 34+58=92>27 \\ 27+58=85>34 \end{gathered}

Since the inequality expression supports the theorem above, hence the side lengths given form a triangle

User VPeric
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories