Pythagorean Theorem: Converse & Applications

What does the Pythagorean Theorem state?

• $c=a+b$

• $a^2=b^2+c^2$

• $c^2=a^2+b^2$

• $c^2=a^2-b^2$

Tags

CCSS.8.G.B.8

Find the missing side length. Type your answer as a number. Round to the nearest tenth if necessary.

Tags

CCSS.8.G.B.7

Find the missing side length. Type your answer as a number. Round to the nearest tenth if necessary.

Tags

CCSS.8.G.B.7

• 7 km

• 2.6 km

• 1 km

• 5 km

Tags

CCSS.8.G.B.8

• 10 meters

• 14 meters

• 5.3 meters

• 2 meters

Tags

CCSS.8.G.B.8

• 3 ft.

• 10.5 ft.

• 26.2 ft.

• 37 ft.

Tags

CCSS.8.G.B.8

• 90 ft.

• 180 ft.

• 9.5 ft.

• 127.3 ft.

Tags

CCSS.8.G.B.8

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is a white square with sides of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner. How many centimeters of ribbon will Peter need to make the “X”?

(Round to the nearest tenth as necessary.)

• 17.0 cm

• 33.9 cm

• 12 cm

• 24 cm

Tags

CCSS.8.G.B.8

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
 $5,\ 9,\ 13$  

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

Tags

CCSS.7.G.A.2

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
 $\sqrt{7},\ 4\ ,10$  

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

Tags

CCSS.HSG.SRT.B.4