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Grade 8 maths · M.12 · Pythagorean theorem

Pythagorean theorem word problems: diagonals of rectangles

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

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  1. A rectangular picture frame is 15 cm wide and 36 cm tall. How long is its diagonal, in cm?

    Answer: 39

  2. A rectangular tablet is 21 cm wide and 72 cm tall. How long is its diagonal, in cm?

    Answer: 75

  3. A rectangular picture frame is 27 cm wide and 120 cm tall. How long is its diagonal, in cm?

    Answer: 123

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

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