Unit 2: Test Review - Understand and Apply Pythagorean Theorem

Solve for the missing side lengths of each triangle. Round all your answers to the nearest tenth (if necessary).

Solve for the missing side lengths of each triangle. Round all your answers to the nearest tenth (if necessary).

Solve for the missing side lengths of each triangle. Round all your answers to the nearest tenth (if necessary).

Solve for the missing side lengths of each triangle. Round all your answers to the nearest tenth (if necessary).

Three students draw triangles with the side lengths shown.  All three say that their triangle is a right triangle.  Which students are incorrect? Explain using mathematical proof to justify your answer.

Find the distance between points. Round all your answers to the nearest tenth (if necessary).

Find the distance between points. Round all your answers to the nearest tenth (if necessary).

In the rectangular prism, find the diagonal hypotenuse. Round all your answers to the nearest tenth (if necessary).

A sculpture artist has just finished creating a unique masterpiece. The sculpture is in the shape of a rectangular prism and needs to be shipped to an art gallery. The dimensions of the sculpture are 2 meters in height, 1.5 meters in width, and 1.2 meters in depth. What is the diagonal hypotenuse? Round all your answers to the nearest tenth (if necessary).

Using the answer from number 9, if the shipping crate is 3 meters long will the sculpture fit in the box (yes or no)? Explain using mathematical proof to justify your answer.