Quiz about Applying Pythagorean Theorem and Distance Formula

Question 1

What is the formula for Pythagorean theorem?

Accepted Answer

a²⁺b²=c²

Answer

a²+ c²= b²

Answer

a²- b²= c²

Answer

c²- a²= b²

Question 2

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?

Accepted Answer

6.2 mi

Answer

5.4 in

Answer

7.9 mi

Answer

38.1 mi

Question 3

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.

Accepted Answer

90 feet

Answer

450 feet

Answer

225 feet

Answer

338 feet

Question 4

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!

Accepted Answer

yes

Answer

no

Question 5

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

Accepted Answer

$$\sqrt[]{130}$$

Answer

$$29\sqrt[]{2}$$

Answer

11.4

Question 6

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?

Accepted Answer

50

Answer

30

Answer

35

Answer

40

Answer

70

Question 7

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

Accepted Answer

127.3 ft

Answer

63.6 ft

Answer

16,129 ft

Answer

13.4 ft

Question 8

Which value BEST represents the length of line AB?

Accepted Answer

15 units

Answer

8 units

Answer

12 units

Answer

21 units

Question 9

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

Accepted Answer

35 feet

Answer

31 feet

Answer

7 feet

Answer

23 feet

Question 10

A piece of paper with a height of 15cm and a length of 35cm was cut diagonally,

what is the hypotenuse of the triangle that was created?

(round up to one point after the decimal point if necessary)

Accepted Answer

38.08 cm

Answer

48 cm

Answer

37 cm

Answer

54 cm

Question 11

if base equals 5 and perpendicular equals 12, then the hypotenuse is what?

Accepted Answer

13

Answer

21

Answer

17

Answer

12

Question 12

Which of the following is true about the Pythagorean Theorem?

Accepted Answer

The Pythagorean Theorem can be used to determine the side lengths of any right triangle.

Answer

The Pythagorean Theorem can be used to determine the side lengths of any triangle.

Answer

The Pythagorean Theorem can be used to determine the angle measure of any right triangle.

Answer

The Pythagorean Theorem can be used to determine the angle measure of any triangle.

Question 13

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)

Accepted Answer

40 miles

Answer

17 miles

Answer

32 miles

Answer

37 miles

Question 14

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

Accepted Answer

Yes

Answer

No

Question 15

Do the following three numbers form the sides of a right triangle:

50, 48, 14

*Hint: Make sure the largest number is plugged in as c in the formula.

Accepted Answer

Yes

Answer

No

Question 16

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation

a² + b²= c² .

Which of the following is a Pythagorean triple?

Accepted Answer

a= 9, b= 12, c= 15

Answer

a= 3, b= 6, c=9

Answer

a=6, b= 9, c= 12

Answer

a= 12, b= 15, c= 18

Applying Pythagorean Theorem and Distance Formula

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