Applying Pythagorean Theorem and Distance Formula

What is the formula for Pythagorean theorem?

• a²⁺b²=c²

• a² + c² = b²

• a² - b² = c²

• c² - a² = b²

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

Betsy has raised a flag on a 91-foot-high flag pole. The flag pole is supported by 5 wires, each of which is attached to the flag pole at a place that is 19 feet from the top of the pole and attached to the ground at a place that is 54 feet from the base of the pole. Find the total length of all 5 wires.

• 450 feet

• 225 feet

• 338 feet

• 90 feet

Do these side lengths form a right triangle? Remember, it doesn't matter what the drawing LOOKS like, it matters if the side lengths prove that it is a right triangle!

• yes

• no

Use the Pythagorean Theorem to find XY. Leave the answer in simplest radical form. X(0,-5) Y(-7,4)

• 11.4

Graphed in the standard (x,y) coordinate plane below is a right triangle with vertices (0,0), (-40,0), and (0,30). What is the length, in coordinate unites, of the hypotenuse of the triangle?

• 30

• 35

• 40

• 50

• 70

How far does the catcher throw the ball from home plate to 2nd base? 

• 63.6 ft

• 16,129 ft

• 13.4 ft

• 127.3 ft

Which value BEST represents the length of line AB?

• 8 units

• 12 units

• 15 units

• 21 units

James walked 21 feet north and 28 feet east. How far was James from his original point?

• 35 feet

• 31 feet

• 7 feet

• 23 feet

The value of d is ​ (a)   .

• 218 inches