SOLUTION: what is the answer to this "How many different triangles,if any, can be drawn with side lengths of 2 centimeters,4 centimeters,7 centimeters? What is the answer to this.

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Question 1072859: what is the answer to this "How many different triangles,if any, can be drawn with side lengths of 2 centimeters,4 centimeters,7 centimeters? What is the answer to this.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52830) About Me  (Show Source):
You can put this solution on YOUR website!
.
No one.

Due to the inequality 2 + 4 < 7.

For the real triangle, the sum of the lengths of any its two sides is greater than the length of its third side.



Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
None.

Attach length of 2 to one endpoint of the 7 cm segment and attach the length 4 to the other endpoint of the 7 cm segment. Rotate the two pieces to connect them together. They will not meet. If you cannot make the loose ends of the lengths 2 and 4 meet, then no triangle is formed.

(Also look for information about Triangle Inequality Theorem.)