If any one of them is longer than or equal to the sum of the other two, they can't form a triangle. If the lengths of the line segments are a, b and c, they form a triangle iff:
a + b > c
a + c > b
b + c > a
true
Yes.
Those segments can form a triangle because the two smallest sides, 7 and 8, add together to make 15, which is greater than the longest side, 12.
No. 5+8 = 13 < 14 Any two sides of a triangle must add to more than the third side.
No. In order for three angles to form a triangle, they must collectively add up to 180 degrees (or pi radians).
seriously?
any three that connect
any three that connect
Yes. What you should watch out for is that, to form a triangle, none of the segments should be longer (or as long as) the other two segments combined. Just check whether the longest segment is longer than the sum of the other two - if it is, then you can't form a triangle.
Yes the given segments would form an isosceles triangle
Yes the given segments would form an isosceles triangle
No, segments 1, 8, and 8 cannot form a triangle. In order for three segments to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 1 + 8 is equal to 9, which is not greater than 8. Therefore, a triangle cannot be formed.
Two segments cannot form a triangle.
The three segments that connect three non-collinear points form a triangle. Each segment connects one point to another, resulting in three sides of the triangle. The points are the vertices of the triangle, and since they are non-collinear, they create a closed shape with distinct interior and exterior regions.
Four line segments can always form a quadrilateral, as long as none of them is longer than the sum of the lengths of the other three,
To create a triangle using 3 shapes, you can use three line segments of equal length. Arrange the line segments so that they connect at their endpoints to form a closed shape with three sides. This shape will resemble a triangle, with three angles adding up to 180 degrees. Ensure that the line segments do not overlap or intersect each other to maintain the triangular shape.
a triangle is formed by line segments that connect two non-collinear points