G.T.1.c
The Pythagorean Theorem
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 ResourcesIntro to inverse trig functionsSolving for a side in right triangles with trigonometryAngles of elevation and depressionTrigonometric ratios in right trianglesRight triangle trigonometry reviewSpecial right triangles reviewHypotenuse, opposite, and adjacentSolve for a side in right trianglesSpecial right trianglesTrigonometric ratios in right trianglesPythagorean theorem in 3DPythagorean theorem challengeSolve for an angle in right trianglesRight triangle trigonometry word problemsSolving for a side in right triangles with trigonometryTrigonometric ratios in right trianglesSpecial right triangles proof (part 2)Special right triangles proof (part 1)30-60-90 triangle example problemArea of a regular hexagonPythagorean theorem in 3DMulti-step word problem with Pythagorean theoremRight triangle word problemPythagorean theorem with isosceles triangleUsing right triangle ratios to approximate angle measure
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