Applying the Pythagorean theorem

What is the formula for Pythagorean theorem?

• a²⁺b²=c²

• a² + c² = b²

• a² - b² = c²

• c² - a² = b²

Casey travels from her house directly west to the bank and then directly north 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? (Calculators are allowed)

• 17 miles

• 32 miles

• 37 miles

• 40 miles

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the square?

Mathematical Equivalence

ON

The Pythagorean Theorem is ​ (a)   (b)   ​ (c)   ​ (d)   ​ ​ (e)  

Tags

8.7.C

I have been given the hypotenuse in this 30-60-90 triangle.  How do I find the short leg?

• Multiply 6 by 2
• Multiply 6 by √3
• Divide 6 by 2
• Divide 6 by √3

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

• Multiply by √2

• Divide by √2

• It's the same length as the hypotenuse.

• Divide by 2

Does the set of numbers represent a Pythagorean Triple.
15, 20, 25

• Yes
• No

From her home, Ciera traveled 5.8 miles north to the grocery store, then 2.1 miles west to the library. What is the direct distance from her home to the library?

• 5.4 in

• 7.9 mi

• 38.1 mi

• 6.2 mi

Find the perimeter of this square.

• 100 m

• 400 m

• 80 m

• 100√2 m

What is the value of x in question #2?

• 15.8 ft

• 13.7 ft

• 8.9 ft

• 17.5 ft