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5. Pythagorean Inequality Theorem

# Pythagorean Inequality Theorem Worksheets

We are all familiar with the Pythagorean Theorem, which speaks about the relation between the hypotenuse and the other two sides of a right triangle. But, from another perspective, the theorem can also be viewed as a constraint that is true only for a right triangle, or in other words, it helps classifying a three-sided figure as a right triangle. Similarly, we can also determine if a triangle is acute or obtuse using two other inequalities, which in turn are derived from the same theorem, and hence the name Pythagorean inequality theorem. Grab hold of this assortment of printable worksheets, ideal for high school students to practice as well as progress applying the Pythagorean inequality theorem and classifying triangles. Kick into gear with our free worksheet!

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Classifying Triangles | Pythagorean Inequality | Table Format

Add up the squares of the two sides, compare it with the square of the longest side and classify the triangles in these pdf worksheets as acute, obtuse or right triangle using Pythagorean inequality theorem and tabulate the answers.

Classifying Triangles | Pythagorean Inequality | Word Format

Apply the Pythagorean inequality theorem to classify the triangle as a right triangle if the value of a2 + b2 is equal to c2, as an acute triangle if it is greater than c2 and obtuse if lesser than c2 where 'c' is the length of the longest side and 'a' and 'b' are the lengths of the other two sides.