PA.GM.1.1
Justify the Pythagorean theorem using measurements, diagrams, or dynamic software to solve problems in two dimensions involving right triangles.
Example Problems
A ‑foot ladder leans against a vertical wall. The base of the ladder is feet from the wall.
How high up the wall does the ladder reach?
How high up the wall does the ladder reach?
A flagpole broke in a storm. 9 meters of it remain upright, while the top now touches the ground 40 meters from the base.
How tall was the flagpole before it broke?
How tall was the flagpole before it broke?
A rectangular television screen is tall and wide.
What is the length of the screen's diagonal (the advertised screen size)?
What is the length of the screen's diagonal (the advertised screen size)?
Khan Academy ResourcesPythagorean theorem in 3DUse area of squares to visualize Pythagorean theoremPythagorean theorem word problemsBhaskara's proof of the Pythagorean theoremAnother Pythagorean theorem proofGarfield's proof of the Pythagorean theoremPythagorean theorem word problem: fishing boatPythagorean theorem proof using similarityPythagorean theorem in 3D
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