M.8.22
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
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 intro problemsUse Pythagorean theorem to find right triangle side lengthsUse Pythagorean theorem to find isosceles triangle side lengthsPythagorean theorem in 3DPythagorean theorem challengeUse Pythagorean theorem to find areaUse Pythagorean theorem to find perimeterUse area of squares to visualize Pythagorean theoremRight triangle side lengthsPythagorean theorem word problemsIntro to the Pythagorean theoremPythagorean theorem word problem: carpetPythagorean theorem word problem: fishing boatPythagorean theorem examplePythagorean theorem in 3D
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