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The segments shown below could form a triangle

The segments shown below could form a triangle-example-1
User Jayr
by
5.2k points

2 Answers

6 votes

Answer: B(false)

Step-by-step explanation: if you want to make a triangle, the 3 sides have to be equal:)

User Kendu
by
4.6k points
10 votes

Answer:

A) True

Explanation:

The other person is wrong, so allow me to refute their argument and then explain my point.

They claim that for a triangle to be formed, all 3 sides need to be equal. We know this isn't true because there is a special classification for triangles with 3 sides: equilateral triangles. We know that there are also triangles where only 2 sides are equal: isosceles triangles. And we also know there are triangles with no sides equal: scalene triangles.

Point 1: not all the sides need to be equal.

There is actually a test to check if it will work. We need to take the two smaller sides and add them up. If the sum of those two sides is greater than the longest side then a triangle can be made out of it. Otherwise, a triangle cannot be made out of it.

Let's take our two smaller sides and add them up to find the sum. 4+3 = 7.

Now let's take our longest side and compare. Our longest side is 6.

And 7 is indeed a larger number than 6. Therefore, a triangle can be made out of it.

User Eulalia
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5.5k points