Pythagorean Theorem Review

Pythagorean Theorem Review

If a triangle is a right triangle (meaning it has a angle measuring __________) then...

• a² + b² = c²

• "a" is the length of one leg

• "b" is the length of the other leg

• and "c" is the length of the hypotenuse

Pythagorean Theorem

Is it a Right Trianlge?

• We know whether the triangle is a right triangle by substituting the side lengths in the Pythagorean Theorem

• How do we do that?

Multiple Choice

Is this triangle a right triangle? (Picture not drawn to scale)

• yes
• no

Multiple Choice

Would a triangle with these side lengths be a right triangle?
4, 5, 6

• Yes
• No

Multiple Choice

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Missing Hypotenuse

We can find the length of the missing hypotenuse by doing what?

Multiple Choice

What is the length of x?

• 5
• 7
• 8
• 25

Multiple Choice

Find the length of the missing side. 

• 25 cm
• 42 cm
• 52 cm
• 48 cm

Multiple Choice

Casey travels from her house directly west 8 miles to the bank and then directly north 15 miles from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

Missing Leg Lengths

We can find a missing Leg of a right triangle by doing what?

Multiple Choice

Use the Pythagorean Theorem to find the missing side.

• 16

• 13

• 14

• 11

Multiple Choice

Find the length of the missing side. 

• 48 in.
• 52 in.
• 16 in.
• 24 in.

Multiple Choice

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10