Triangle inequality theorem worksheet with answers pdf

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Inequality Theorem

Focusing on the triangle inequality theorem, the high school worksheets feature adequate skills such as check if the side measures form a triangle or not, find the range of possible measures of the third side, the lowest and greatest possible whole number measures of the third side and much more. Solve a word format problem in each printable worksheet and instantly review skills with the multiple response pdfs. Try our free triangle inequality theorem worksheet for a glimpse of what's in store.

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Do the Side Measures Form a Triangle?

Figure out if the given lengths form the sides of the triangle by applying the triangle inequality theorem. Add any two lengths, if their sum is greater than the third side, then the sides form a triangle.

Range of the Third Side

Compute the range of possible measures of the third side of the triangle in this set of printable worksheets. The difference between the two sides makes the lower range, while the sum of the two sides forms the upper range.

Lowest Possible Measure of the Third Side

Subtract the two given side measures and add 1 to the difference to determine the lowest possible whole number measure of the third side. Reaffirm the triangle inequality theorem with this worksheet pack for high school students.

Greatest Possible Measure of the Third Side

The length of a side of a triangle is less than the sum of the lengths of the other two sides. Add up the two given sides and subtract 1 from the sum to find the greatest possible measure of the third side.

Multiple Response

Reiterate the triangle inequality theorem with multiple response questions in this batch of pdf worksheets. Determine the lowest and greatest possible measures of the third side and also check if the given measures form a triangle or not.

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Triangle inequality Theorem worksheets state that the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side. It follows from the fact that a straight line is the shortest path between two points. The inequality is strict if the triangle is non-degenerate (meaning it has a non-zero area).

Triangle inequality, in Euclidean geometry, states that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.