8.G.7
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?
Find the distance, , between and .
Express your answer in exact terms and simplify, if needed.
Express your answer in exact terms and simplify, if needed.
A square tile measures 15 centimeters on each side.
What is the diagonal distance across the tile?
Write your answer as a decimal rounded to the nearest hundredth.
What is the diagonal distance across the tile?
Write your answer as a decimal rounded to the nearest hundredth.
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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