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Converse of Pythagoras Theorem Worksheet

Explore the Converse of Pythagoras Theorem with this Grade 7 worksheet, determining if triangles are right-angled based on side lengths.

Grade 7 Math TrigonometryConverse of Pythagoras Theorem
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Includes

Multiple Choice2 Short AnswerTrue / FalseFill in the Blanks

Standards

CCSS.MATH.CONTENT.8.G.B.7

Topics

Pythagorean TheoremGeometryTrianglesRight Angle
7 sections · Free to use · Printable
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Converse of Pythagoras Theorem

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Read each question carefully and use the Converse of Pythagoras Theorem to determine if the given triangles are right-angled triangles.

1. Which set of side lengths forms a right-angled triangle?

a

3, 4, 6

b

5, 12, 13

c

7, 8, 9

d

2, 3, 4

2. The sides of a triangle are 8 cm, 15 cm, and 17 cm. Is this a right-angled triangle? Show your work.

3. A triangle with sides measuring 6 inches, 8 inches, and 10 inches is a right-angled triangle.

T

True

F

False

4. According to the Converse of Pythagoras Theorem, if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a   triangle.

5. A carpenter is building a frame for a window. The sides of the frame measure 90 cm, 120 cm, and 150 cm. Is the frame perfectly rectangular (i.e., does it have right angles)? Explain your reasoning.