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Year 8 maths · M.16 · Pythagorean theorem

Is the triangle acute, right or obtuse?

Compare the sum of the squares of the two shorter sides with the square of the longest side. Equal: right. Greater: acute. Less: obtuse.

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  1. A triangle has sides of 5, 17 and 20. Is it acute, right or obtuse? Write acute, right or obtuse.

    Answer: obtuse

  2. A triangle has sides of 13, 19 and 8. Is it acute, right or obtuse? Write acute, right or obtuse.

    Answer: obtuse

  3. A triangle has sides of 6, 8 and 8. Is it acute, right or obtuse? Write acute, right or obtuse.

    Answer: acute

Tip: Compare the sum of the squares of the two shorter sides with the square of the longest side. Equal: right. Greater: acute. Less: obtuse.

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