Apply the Pythagorean Theorem to determine unknown side lengths in right triangles

Start lessonBegins with Finding sides and 2D · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

8.G.B.7

**8.G.B.7**: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

8.G.B.7: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

What you'll learn

Use the Pythagorean Theorem to find the hypotenuse of a right triangle given both legs
Use the Pythagorean Theorem to find a missing leg of a right triangle given the hypotenuse and the other leg
Solve two-dimensional real-world problems by identifying right triangles within geometric figures (diagonals of rectangles, heights of isosceles triangles, distances across fields)
Solve three-dimensional problems that require applying the Pythagorean Theorem more than once (space diagonal of a rectangular prism, height of a cone given slant height)
Express answers in exact form using simplified radicals and as decimal approximations, choosing the appropriate form based on context

Review first: