Pythagorean Theorem Word Problems and Distance Formula

Gina cut an 8 inch by 10 inch piece of paper into two equal-sized right triangles. What is the length of the hypotenuse of each triangle? Round your answer to the nearest tenth.

• The hypotenuse is about 12.5 inches.

• The hypotenuse is about 12.7 inches.

• The hypotenuse is about 12.8 inches.

• The hypotenuse is about 12.9 inches.

Tags

CCSS.8.G.B.7

Gene has a 12 foot ladder. Safety instructions recommend that the base of the ladder must be 4 feet from the base of the wall. How far up the wall will the ladder reach? Round to the nearest tenth if needed.

• The ladder will reach about 11.4 feet up the wall.

• The ladder will reach about 11.3 feet up the wall.

• The ladder will reach about 12.6 feet up the wall.

• The ladder will reach about 11.9 feet up the wall.

Tags

CCSS.8.G.B.8

Owen walks to school each day. He travels 12 blocks west and then 9 blocks north. If he could walk on a path directly from his house to school, what would be the length of his walk in blocks?

• He would walk 14 blocks.

• He would walk 18 blocks.

• He would walk 23 blocks.

• He would walk 15 blocks.

Tags

CCSS.8.G.B.8

Two ships leave from the same port. One travels east 21 miles and the other travels 72 miles south. Determine the distance between the two ships.

• The two ships are 75 miles apart.

• The two ships are 93 miles apart.

• The two ships are 68.9 miles apart.

• The two ships are 51 miles apart.

Tags

CCSS.8.G.B.8

Find the distance between points (6, 2) and (1, 14). Round to the nearest tenth if necessary.

• 15.5 units

• 17.5 units

• 13 units

• 17.4 units

Tags

CCSS.HSG.GPE.B.7

Find the distance between points (9, -3) and (2, -4). Round to the nearest tenth if necessary.

• About 7 units

• About 7.1 units

• About 13 units

• About 6.3 units

Tags

CCSS.HSG.GPE.B.7