The Pythagorean Theorem and Right Triangles

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.
• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
• The difference of the areas of the two smaller squares is equal to the area of the large square.
• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Tags

CCSS.8.G.B.8

What is the area of the largest square in the diagram?

• 5 units²

• 9 units²

• 16 units²

• 25 units²

Tags

CCSS.6.G.A.3

The sides of squares can be used to form right triangles? Which set of squares could not form a right triangle?

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Tags

CCSS.8.G.B.8

The right triangle shown is formed by joining three squares at their vertices. What is the value of x?

• 16 cm

• 8 cm

• 2 cm

• 32 cm

Tags

CCSS.8.G.B.8

The three squares shown joined at their vertices to form a right triangle. What is the area of the shaded square?

• 80 cm²

• 352 cm²

• 2 cm²

• 658 cm²

Tags

CCSS.8.G.B.8

Which figure can be placed along the segment labeled x to correctly model the Pythagorean Theorem?

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Tags

CCSS.8.G.B.8

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Tags

CCSS.8.G.B.8

Which set of sides would make a right triangle?

• (9,12,21)
• (8,10,12)
• (9, 12, 15)
• (5,10,15)

Tags

CCSS.8.G.B.8

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

• Yes
• No

Tags

CCSS.8.G.B.8

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13
• No, because 100+121 does not equal 169
• Yes, because there is a small side, medium side and long side
• Yes, because a triangle has 3 sides

Tags

CCSS.HSG.SRT.C.8