Alignment to Content Standards: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Tasks:
The following rectangle, measuring 15 inches by 12 inches, has been divided into four triangles. The figure below has been filled in with a few other dimensions.
There are three right triangles surrounding a fourth shaded triangle. Using the Pythagorean Theorem
1) Find the missing lengths in the diagram
2) Prove whether the shaded triangle is a right triangle or not.
The commentary and solutions for this task are included in document link below.