76.7k views
0 votes
Can These Three Numbers Be The Side Lengths Of A Triangle?

Can These Three Numbers Be The Side Lengths Of A Triangle?-example-1
User Rjurney
by
5.3k points

2 Answers

3 votes

Answer: No

Step-by-step explanation: "Triangle Inequality theorem"

The sum of the two sides of a triangle must be greater than the third side.

2 + 10 = 12 meaning is not greater than the side 12.

User ENBYSS
by
5.4k points
3 votes


\tt Step-by-step~explanation:

In order to solve this, you should know this: the sum of the two shorter sides of the triangle should be greater than the longest side, or the hypotenuse.

a + b > c


\tt Steps:

The two smaller values, 10 and 2, could be a and b. 10 + 2 is 12, which is the hypotenuse, so these values cannot make up a triangle.


\Large\boxed{\tt Our~final~answer:~No}

User Matwr
by
5.2k points