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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

• 11.4

Tags

CCSS.8.G.B.8

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

Tags

CCSS.6.G.A.3

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

Tags

CCSS.8.G.B.8

Which value BEST represents the length of line AB?

• 8 units

• 12 units

• 15 units

• 21 units

Tags

CCSS.6.G.A.3

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

Tags

CCSS.8.G.B.8

The value of d is ​ (a)   .

• 218 inches

Tags

CCSS.8.G.B.7