Playing with the Triangle Inequality Theorem

Instructions

1. Slide Red slider to change length of Red side of the triangle.[br]2. Slide Green slider to change length of Green side of the triangle.[br]3. Slide Blue slider to change length of Blue side of the triangle.[br]4. Observe the calculation in respective color equations for proof.

Answer the following equations:

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

less than none of these greater than equal to

The Triangle Inequality Theorem deals with _______ of a triangle

sides angles

Does a triangle with these side lengths exist?[br]11, 12, 13

Yes No

Does a triangle with these side lengths exist?[br]20, 10, 9

Yes No

The longest side of a triangle would be located where on a triangle?

Cannot tell. Across from the smallest angle Across from the largest angle Adjacent to the smallest side.

Playing with the Triangle Inequality Theorem

Instructions

Answer the following equations:

Information: Playing with the Triangle Inequality Theorem