Pythagorean Theorem and Distance Formula in 3D Solids

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

A triangle has sides with lengths of 33 yards, 44 yards, and 55 yards.
Is it a right triangle?

• YES

• NO

Which measurement could NOT represent the side lengths of a right triangle?

• A

• B

• C

• D

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Find the distance between (2, -75) and (10, 235).

• 305.5

• 308.6

• 310.1

• 315.3

Find the direct distance between the court house and the town hall.

• 26

• 6.8

• 10

• 7.2 km

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

What is the value of x in the right triangle shown?

• 16cm

• 18cm

• 24cm

• √674cm

The pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Find the length of the side CD.

• 9 units

• √34

• √5

• 3 units