SOLUTION: The lengths of two sides of a triangle are 20 cm and 32 cm. a.) Explain why the third side of the triangle can or cannot have a length of 10 cm.

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Question 481901: The lengths of two sides of a triangle are 20 cm and 32 cm.
a.) Explain why the third side of the triangle can or cannot have a length of 10 cm.

Answer by solver91311(24713) About Me  (Show Source):
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The sum of the measures of any two sides of any triangle must be greater than the measure of the third side. So take the two shortest sides and add them, if the sum is less than or equal to the third side, you DO NOT have a triangle. If the sum is strictly greater than the third side, you DO have a triangle.

John

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