The Pythagorean TheoremThe relationship that only works in right triangles — and its converse.8th GradeIn a right-angled triangle, the square on thehypotenuse equals the sum of the squares on theother two sides.a² + b² = c²a=3, b=4c = 59 + 16 = 25, and √25 = 5.a=5, c=13b = 12Finding a leg: b² = 169 − 25.Is 6,8,10 right-angled?yes36 + 64 = 100. The converse works as a test.Triples worth knowing3-4-5, 5-12-13, 8-15-17And any multiple of them.THE COMMON MISTAKE3 + 4 = 5, so a + b = ca² + b² = c²It is a coincidence that 3-4-5 also adds up. Try 5-12-13 and it fails.Only for right triangles. If there is no right angle, this theorem does notapply.The Pythagorean Theoremlearnposters.com
The Pythagorean Theorem — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the The Pythagorean Theorem poster

The rule, 4 worked examples, and the mistake everyone makes.

Only for right triangles. If there is no right angle, this theorem does not apply.

Questions about the The Pythagorean Theorem poster

What’s on the The Pythagorean Theorem poster?
The rule, 4 worked examples, and the mistake everyone makes. In a right-angled triangle, the square on the hypotenuse equals the sum of the square…; a² + b² = c²; a=3, b=4 = c = 5; a=5, c=13 = b = 12; Is 6,8,10 right-angled? = yes; Triples worth knowing = 3-4-5, 5-12-13, 8-15-17; Common mistake: 3 + 4 = 5, so a + b = c → a² + b² = c². Only for right triangles. If there is no right angle, this theorem does not apply.
Who is the The Pythagorean Theorem poster for?
The Pythagorean Theorem is filed under 8th Grade (ages 13–14), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the The Pythagorean Theorem poster?
Label the hypotenuse first, every time. It is always opposite the right angle. A wall chart earns its place by being glanceable from where the work is happening, so The Pythagorean Theorem belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with The Pythagorean Theorem?
Angles and Parallel Lines, Transformations and Volume of Cones, Cylinders and Spheres sit alongside The Pythagorean Theorem in the 8th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Angles and Parallel LinesTransformationsVolume of Cones, Cylinders and Spheres
Is the The Pythagorean Theorem poster free to download and print?
Yes. The Pythagorean Theorem downloads as a free PDF with no account, no email and no watermark, like everything else in the 8th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the The Pythagorean Theorem poster print at?
The Pythagorean Theorem is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of The Pythagorean Theorem loses nothing.Printing guide

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