How do I construct a triangle given three sides?
An example of an AI chatbot conversation about constructing a triangle with given side lengths.
How do I construct a triangle given three sides?
To construct a triangle with three sides, you can use a ruler and a compass. First, draw one side of the triangle.
What if the sides are 5 cm, 6 cm, and 7 cm?
Start by drawing a line segment of 5 cm. Then, use a compass to draw arcs with 6 cm and 7 cm from each endpoint of the segment.
How do I know if those sides can form a triangle?
You can use the triangle inequality theorem: the sum of the lengths of any two sides must be greater than the length of the third side.
Can you give me an example of that?
Sure! For sides 5 cm, 6 cm, and 7 cm: 5 + 6 > 7, 5 + 7 > 6, and 6 + 7 > 5. All conditions are satisfied!
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