Distance on Graph Using Pythagorean Theorem

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?

• 40 miles

• 17 miles

• 32 miles

• 37 miles

Tags

CCSS.8.G.B.8

Use the Pythagorean Theorem to find the distance between the points (4, 3) and (-4, -3).

• 4

• 6

• 8

• 10

Tags

CCSS.6.G.A.3

Find AC using either the distance formula or the Pythagorean Theorem.

• 2

• 8

Tags

CCSS.6.G.A.3

Apply the Pythagorean Theorem to find the distance between points A and B.

Tags

CCSS.HSG.GPE.B.7

A 200 foot wire is attached from the top of a tower to a point on the ground 40 feet from the base of the tower. Find the height of the tower to the nearest foot.

• 384 feet

• 160 feet

• 158 feet

• 196 feet

Tags

CCSS.8.G.B.7

The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides. Find the length of the missing side of the farmyard (round to two decimal places).

• 17.00 feet

• 27.00 feet

• 32.15 feet

• 46.77 feet

Tags

CCSS.8.G.B.8

To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 4² and 6² to find the distance represented by the red segment. What distance did she find ?

• 20

• 25

Tags

CCSS.HSG.GPE.B.7

Ms. Phillips' cat, Stitches, is stuck in a tree 18 ft off the ground. The base of a ladder is placed 6 feet away from the base of the tree. What is the minimum length ladder needed to reach the cat (rounded to the nearest foot)?

• 19 feet

• 18 feet

• 21 feet

• 20 feet

Tags

CCSS.8.G.B.8

Find the length of the hypotenuse of a right triangle if a = 5 and b = 12.

• 8.5

• 15

• 17

• 13

Tags

CCSS.8.G.B.7

The triangle shown MUST be a right triangle if x = ____ in.

• 8

• 16

• 12

• 144

Tags

CCSS.8.G.B.8