Unit 5: Pythagoreans Theorem Review

• rational, because all radicals are rational

• irrational, because its decimal expansion does not repeat

• rational, because its decimal expansion eventually repeats

• irrational, because all radicals are irrational

Determine whether the below set of measures represent a Pythagorean Triple.

5,6,12

• Yes, because 11 is less than 12

• Yes, because 61 is less than 144

• No, because 61 does not equal 144

• No, because 11 does not equal 12

One leg of a right triangle is 5 inches and the other leg is 12 inches. What is the missing length?

• 11 inches

• 12 inches

• 13 inches

• 14 inches

The diagram below shows the locations of Gabe's house. a library, and a gymnasium. What is the distance between the library and Gabe's house?

• 5.1 kilometers

• 2.4 kilometers

• 3.5 kilometers

• 6 kilometers

• 125.66 cm³

• 301.59 cm³

• 251.33 cm³

• 46.55 cm³

• 800.72 cubic inches

• 133.35 cubic inches

• 266.69 cubic inches

• 933.42 cubic inches

The diagonal of a right triangle is 19 and a leg is 17. What is the measure of the missing leg?

• 18.6

• 1.4

• 8.5

• 25.4

Two joggers run 8 miles north and then 5 miles west.  What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

• 9.4 miles

• 3.2 miles

• 13.1 miles

• 6.5 miles

• 2028.44 cubic feet

• 1014.22 cubic feet

• 507.11 cubic feet

• 9635.09 cubic feet

One leg of a right triangle is 3 yards and the diagonal is 5 yards. What in the measure of the missing leg?

• 5 yards

• 4 yards

• 3 yards

• 2 yards