MA.8.GR.1.1
Apply the Pythagorean Theorem to solve mathematical and real-world problems involving unknown side lengths in 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 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.
Aria runs 5 miles east and then a certain number of miles north.
She ends 13 miles away from her starting position.
How many miles north did Aria run?
She ends 13 miles away from her starting position.
How many miles north did Aria run?
Khan Academy ResourcesUse Pythagorean theorem to find right triangle side lengthsUse Pythagorean theorem to find isosceles triangle side lengthsPythagorean theorem in 3DUse Pythagorean theorem to find areaUse Pythagorean theorem to find perimeterUse area of squares to visualize Pythagorean theoremPythagorean theorem word problemsIntro to the Pythagorean theoremPythagorean theorem word problem: carpetPythagorean theorem word problem: fishing boatPythagorean theorem exampleUse Pythagorean theorem to find area of an isosceles trianglePythagorean theorem in 3DPythagorean theorem with isosceles triangle
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