by BlastRoom
Use the converse of the Pythagorean theorem to test three side lengths.
#us_grade_8_math

40 questions
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A triangle is shown with its side lengths labeled in meters. Is it a right triangle?

A triangle has sides of 10 ft, 17 ft and 24 ft. Is it a right triangle?
Which statement is the converse of the Pythagorean theorem, the one you use to TEST three side lengths?
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The Pythagorean theorem says that in a right triangle, . Why can't you use the theorem itself to show that a triangle IS a right triangle?
A farmer fences a pen, running 10 ft along one side, 24 ft along the next, and measuring 26 ft between the far ends of the two runs. Is the corner a right angle?
A triangle is shown with its side lengths labeled in centimeters. Let , , and be those lengths from least to greatest. To test it for a right angle, Ruth checks whether equals . Why is that test wrong?

The figure shows a triangle with all side lengths labeled in meters. Is it a right triangle?

A triangle is drawn with each side length labeled in feet. Is it a right triangle?

Use the triangle whose side lengths are labeled in feet. Is it a right triangle?

The diagram gives a triangle's side lengths in feet. Let , , and be the labeled lengths from least to greatest. To test it for a right angle, Ben checks whether equals . Why is that test wrong?

A triangle is shown with all three side lengths labeled in centimeters. Is it a right triangle?

A triangle is drawn with all side lengths labeled in meters. Let , , and be the lengths from least to greatest. To test it for a right angle, Omar checks whether equals . Why is that test wrong?

A builder lays out a patio, measuring 21 m along one edge, 28 m along the next, and 35 m diagonally between the far ends of the two edges. Is the corner a right angle?
Use the triangle whose side lengths are labeled in centimeters. Let , , and represent those lengths from least to greatest. To test it for a right angle, Leo checks whether equals . Why is that test wrong?

A farmer fences a pen, running 21 ft along one side, 35 ft along the next, and measuring 42 ft between the far ends of the two runs. Is the corner a right angle?
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A triangle is pictured with all side lengths labeled in inches. Is it a right triangle?

The figure gives a triangle's side lengths in feet. Is it a right triangle?

A gardener marks a corner of a bed by measuring 14 ft along one edge, 17 ft along the other, and 25 ft straight between the two far ends. Is the corner a right angle?
The figure shows a triangle with its side lengths labeled in meters. Let , , and be the labeled lengths from least to greatest. To test it for a right angle, Ruth checks whether equals . Why is that test wrong?

A triangle is shown with all three side lengths labeled in units. Let , , and be those lengths from least to greatest. To test it for a right angle, Ivy checks whether equals . Why is that test wrong?

A triangle is shown with its three side lengths labeled in inches. Is it a right triangle?

The diagram shows a triangle with its side lengths labeled in centimeters. Does it have a right angle?

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Use the labeled triangle with side lengths in inches. Is it a right triangle?

The figure gives all three side lengths of a triangle in units. Let , , and be the labeled lengths from least to greatest. To test it for a right angle, Leo checks whether equals . Why is that test wrong?

In a triangle with sides a, b and c, the two shorter sides satisfy . What does that tell you about the largest angle?
A triangle's sides are 20 in, 26 in and 28 in, with the longest side last. Is it a right triangle?
A triangle is pictured with each side length labeled in feet. Let , , and be the lengths from least to greatest. To test it for a right angle, Omar checks whether equals . Why is that test wrong?

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40 questions