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mr_godi [17]
3 years ago
8

Using just yes or no, can you make more than one triangle when you are given 3 different line segments?

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

No

Step-by-step explanation:

A triangle is made up of three line segments therefore, it would be impossible to make multiple triangles with only 3 line segments. You could stretch the line segments but they would never make other triangles since each attempt would be missing one line segment. What can be done with these 3 line segments is making more than one type of triangle. For example, we can make acute triangles, an obtuse triangle, right triangles, etc.

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Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.

Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so

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