Square Roots and Pythagorean Theorem

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Tags

CCSS.8.G.B.8

Sides a and b are called legs.

• true

• false

Tags

CCSS.HSG.SRT.C.8

Side c on a right triangle is ALWAYS the longest.

• true

• false

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Name the longest side of a right triangle.

• leg a
• leg b
• leg 
• hypotenuse

Tags

CCSS.HSG.SRT.C.8

The Pythagorean Theorem states that if you have a right triangle, then...

• $a^3+b^3=c^3$

• $a^2+b^2=c^2$

• $b^2+c^2=a^2$

• $2a+2b=2c$

What is the side length of the square?

• 10 units

• 50 units

• 25 units

• 94 units

What is the missing side length?

• 98 units

• 49 units

• 13 units

• 14 units

What is the missing area?

• 22 square units

• 121 square units

• 44 square units

• 5.5 square units

Which side is the hypotenuse?

• red

• blue

• purple

Elizabeth is trying to find the missing side length. Here is her work. What mistake did she make?

• She added incorrectly. 3+4 is not 7.

• She added the side lengths instead of the areas. She should square 3 and 4 BEFORE adding.

• She used the wrong hypotenuse. 4 is the longest side.

• She should multiply 3 and 4 to get 12.