Applying the Pythagorean theorem

Do the side lengths 6in, 8in, and 10in form a right triangle?

• Yes
• No

Best buy is advertising a desktop monitor as 20 inches (diagonal length of the screen). If the screen is 12 inches high, what is the width of the screen? Round to the nearest tenth if necessary.

• 16 inches

• 8 inches

• 14 inches

• 18 inches

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2
• Take the square root of both sides

• Divide both sides by 2

• Take the square root of both sides

• 25 is the final answer

• Not enough information is given

The model represents what relationship?

•  $a^2\ +\ b^3\ =\ c^4$  

•  $a^2+\ c^2=\ b^2$  

•  $a\ +\ b\ =\ c$  

•  $a^2\ +\ b^2\ =c^2$  

Abigail, Emma, and Liam are building a model of a right-angled triangle. They have two legs of the triangle with lengths 3 cm and 4 cm. Can you help them figure out the length of the hypotenuse?

• 2 cm

• 10 cm

• 5 cm

• 7 cm

The Pythagorean Theorem must be used with what type of triangles?

• Obtuse Triangles

• Acute Triangles

• Right Triangles

• Scalene Triangles

Which is a Pythagorean Triple?

• 3,8,10

• 7,24,25

• 8,15,16

• 5,12,14

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes
• No

Which variable in the pythagorean theorem represents the hypotenuse of a right triangle?  $a^2+b^2=c^2$  

•  $a$  

•  $b$  

•  $c$  

•  $c^2$