Pythagorean Theorem: Converse & Applications

What does the Pythagorean Theorem state?

• $c=a+b$

• $a^2=b^2+c^2$

• $c^2=a^2+b^2$

• $c^2=a^2-b^2$

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

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

• 7 km

• 2.6 km

• 1 km

• 5 km

• 10 meters

• 14 meters

• 5.3 meters

• 2 meters

• 3 ft.

• 10.5 ft.

• 26.2 ft.

• 37 ft.

• 90 ft.

• 180 ft.

• 9.5 ft.

• 127.3 ft.

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

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.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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