Triangle Properties and Side Lengths

Medium Geometry And Spatial Sense Shapes

A shape has three sides and three angles. The longest side measures 10 cm, while the shortest side measures 6 cm. If the third side is longer than 6 cm but shorter than 10 cm, which of the following statements about this shape must be true?

Remember that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The triangle is equilateral.

The triangle has a right angle.

The third side measures 8 cm.

The third side cannot be longer than 9 cm.

Hint

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