Determine If Side Lengths Represent a Right Triangle

Find the value of the unknown length. Round your answer in nearest hundredths, if necessary.

• 2.95 cm

• 5.64 cm

• 7.9 cm

• 1.1 cm

Fill in the blank.

Determine what number completes a Pythagorean Triple.

55, 48, ___

• 27

• 41

• 73

• 103

Determine whether the numbers form a Pythagorean Triple.

45, 96, 104

• Yes, Pythagorean Triple

• Not, Pythagorean Triple

Christopher develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches. Determine the length of the other side of the instrument and round your answer in nearest hundredths, if necessary.

• 7.21 in

• 18.43 in

• 1.41 in

• 5.10 in

Nero is on his way home from work. He drives 35 miles due North and then 42 miles due West. Find the shortest distance he can cover to reach home early.

• 42.41 mi

• 54.67 mi

• 8.77 mi

• 23.21 mi

Find the value of the unknown length. Round your answer in nearest hundredths, if necessary.

• 16.98 mi

• 4.41 mi

• 23.61 mi

• 10.20 mi

Determine if the following lengths are an acute, right, obtuse triangle, or not a triangle.

6, 10, 8

• acute

• right

• obtuse

• not a triangle

What is the exact length of AC?

• 15.6

Simone walks up a tightrope from the ground to the top of a pole that is 15 feet tall. How far does she walk up the rope to the nearest foot?

• 21 feet

• 26 feet

• 30 feet

• 0 feet, because Simone is afraid of heights.

• e

• d

• m

• n