Geometry 8.1 Pythagorean Theorem & Converse

What is the formula for Pythagorean theorem?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

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CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.

• 21
• 19
• 26
• 30

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CCSS.HSG.SRT.C.8

Which set of side lengths does not form a right triangle?

• 38, 80, 90
• 16, 63, 65
• 36, 77, 85
• 14, 15, 29

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Which set of side lengths form a right triangle?

• 3, 4, 7
• 33, 56, 65
• 66, 72, 97
• 10, 15, 25

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Is this triangle a right triangle?

• yes
• no

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CCSS.8.G.B.8

True or False: When determining whether or not 3 side lengths form a right triangle, add the side lengths of the legs to see if the sum is equal to the length of the hypotenuse.

• true
• false

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

If a² = 16 units² and b² = 25 units², what is the area of c²?

• 41 units²
• 6.4 units²
• 20 units²
• 9 units²

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

The triangular sail of a toy sailboat is supposed to be a right angle.  The manufacturer says the sides of the sail have lengths of 4.5 inches, 6 inches, and 7 inches.  Is the sail a right triangle? 

• No
• Yes

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CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8