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Year 8 maths · M.11 · Pythagorean theorem

Pythagorean theorem word problems: ladders

Draw the right triangle, decide which side is the hypotenuse, and use the Pythagorean theorem.

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  1. A 51 m ladder leans against a wall and reaches 45 m up the wall. How far is its foot from the wall, in m?

    Answer: 24

  2. A 39 m ladder leans against a wall and reaches 36 m up the wall. How far is its foot from the wall, in m?

    Answer: 15

  3. A 164 m ladder leans against a wall and reaches 160 m up the wall. How far is its foot from the wall, in m?

    Answer: 36

Tip: Draw the right triangle, decide which side is the hypotenuse, and use the Pythagorean theorem.

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