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Grade 8 maths · M.15 · Pythagorean theorem

Area of a right triangle from the hypotenuse and a leg

Find the other leg with the Pythagorean theorem, then use area = ½ × base × height.

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  1. A right triangle has a hypotenuse of 123 km and one leg of 27 km. What is its area, in square km?

    Answer: 1620

  2. A right triangle has a hypotenuse of 17 km and one leg of 15 km. What is its area, in square km?

    Answer: 60

  3. A right triangle has a hypotenuse of 37 km and one leg of 12 km. What is its area, in square km?

    Answer: 210

Tip: Find the other leg with the Pythagorean theorem, then use area = ½ × base × height.

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