W3 Lesson 3: Applications of the Pythagorean Theorem

What is the Pythagorean Theorem?

• a² + b² = c²
• a + b = c
• a + b + c
• a² + c² = b²

What kind of triangles can the Pythagorean Theorem be applied to?

• Scalene
• Equilateral
• Right
• Acute

What does "c" stand for in the Pythagorean Theorem?

• One of the legs
• The hypotenuse

What does "a" stand for in the Pythagorean Theorem?

• One of the legs
• The hypotenuse

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 42 miles
• 37 miles
• 40 miles

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards
• 115 yards
• 127.3 yards
• 119 yards

Tags

CCSS.HSG.SRT.C.8

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.HSG.SRT.C.8

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14
• 10
• 5.3
• 2

Tags

CCSS.8.G.B.8

What is the diagonal length of the iPad?

• 9.2 in
• 11 in
• 13 in
• 9.6 in

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Which equation can be used to solve the word problem: A TV is 40 inches (diagonally) and the height is 30 inches.  How wide is the TV?

• 30²  + 40² = c²
• a²  + 40² = 30²
• 30²  + b² = 40²
• 40²  + 30² = c²

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7