Math 8 - Pythagorean Theorem

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What are some keywords or phrases in a word problem that tell you to use the pythagorean theorem? Check all that apply.

• Order the real numbers from least to greatest

• A rectangle with a diagonal

• A ladder leaning against a wall

• Find the corresponding angles

• When you are asked to find the distance

What is the longest side of a right triangle called?

• Leg A
• Leg B
• Hypotenuse
• Pythagoras' Big Buddy

Tags

CCSS.HSG.SRT.C.8

What is the opposite of squaring a number?

• divide

• multiply

• fractions

• square root

• cube root

What is the first step in finding the missing side length of the right triangle?

• $8+15\ =\$

• $8^2+15^2=$

• $15-8=$

• $15^2-8^2=$

What is the second step in finding the missing side length of the right triangle?

•  $8^2+15^2\ =\ 289$ Now take square root of 289 to find the length of the hypotenuse.

•  $8^2+15^2=289$  You are done. The missing side is 289.

•  $15-8=7$ You are done.  The missing side is 7.

•  $15^2-8^2=161$  Now take square root of 161 to find the length of the hypotenuse.

What is the first step in finding the missing side length of the right triangle?

• $9+41\ =\$

• $9^2+41^2=$

• $41-9=$

• $41^2-9^2=$

What is the second step in finding the missing side length of the right triangle?

•  $9+41\ =\ 50$ You are done.  50 in the missing side length.

•  $9^2+41^2=1762$ Take the square root of 1762 to find the missing side length.

•  $41-9=32$ You are done.  32 is the missing side length.

•  $41^2-9^2=1600$ Take the square root of 1600 to find the missing side length.

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.
• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
• The difference of the areas of the two smaller squares is equal to the area of the large square.
• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Tags

CCSS.8.G.B.6