Pythagorean Theorem Mastery Challenge

The video tutorial covers the Pythagorean theorem, starting with an introduction and expectations. It reviews the theorem's basics, solving right triangles, and identifying right triangles. The lesson includes word problems, checking triangle validity, and advanced applications with isosceles triangles. The session concludes with final examples and a wrap-up.

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

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

• 5 feet

• 6 feet

• 8 feet

• 7 feet

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

• None of the above

• Calculator

• Desmos

• Mathematical tables

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

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

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

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

• Insufficient information

• Yes

• No

• Only if rearranged

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

• 20 miles

• 22 miles

• 24 miles

• 18 miles

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