Pythagorean Theorem Mastery Challenge

What formula is used to calculate the diagonal of a rectangle?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• ab = c^2

• 2a + 2b = c

Tags

CCSS.8.G.B.8

What is the missing side length if one side is 24 and the hypotenuse is 25?

• 5 feet

• 6 feet

• 8 feet

• 7 feet

Tags

CCSS.8.G.B.7

Which tool is suggested for calculating squares and square roots in the lesson?

• None of the above

• Calculator

• Desmos

• Mathematical tables

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the correct way to label the sides of a right triangle?

• Side B across from the right angle

• Side A across from the right angle

• Any side can be across from the right angle

• Side C across from the right angle

How do you verify if three lengths can form a right triangle?

• Adding all three lengths

• Using the Pythagorean theorem

• None of the above

• Multiplying the longest length by two

Tags

CCSS.8.G.B.8

In an isosceles right triangle, if the equal sides are 25 inches, what is the length of the base?

• 25 inches

• 30 inches

• 20 inches

• 15 inches

Tags

CCSS.8.G.B.8

What is the area of a square if one side is 5 cm?

• 10 cm^2

• 25 cm^2

• 20 cm^2

• 15 cm^2

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Can the lengths 12, 15, and 9 inches form a right triangle?

• Insufficient information

• Yes

• No

• Only if rearranged

Tags

CCSS.8.G.B.8

What is the total distance Clay ran, including the diagonal back to his house?

• 20 miles

• 22 miles

• 24 miles

• 18 miles

Tags

CCSS.8.G.B.8

What is the diagonal distance between two cities forming a square with sides of 50 miles?

• 65 miles

• 75 miles

• 70.7 miles

• 80 miles

Tags

CCSS.8.G.B.8