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Area of a right triangle from the hypotenuse and a leg

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

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

  1. A right triangle has a hypotenuse of 61 cm and one leg of 60 cm. What is its area, in square cm?
  2. A right triangle has a hypotenuse of 26 m and one leg of 24 m. What is its area, in square m?
  3. A right triangle has a hypotenuse of 58 cm and one leg of 40 cm. What is its area, in square cm?
  4. A right triangle has a hypotenuse of 58 km and one leg of 40 km. What is its area, in square km?
  5. A right triangle has a hypotenuse of 244 cm and one leg of 240 cm. What is its area, in square cm?
  6. A right triangle has a hypotenuse of 148 m and one leg of 140 m. What is its area, in square m?
  7. A right triangle has a hypotenuse of 25 cm and one leg of 24 cm. What is its area, in square cm?
  8. A right triangle has a hypotenuse of 17 cm and one leg of 8 cm. What is its area, in square cm?
  9. A right triangle has a hypotenuse of 39 cm and one leg of 15 cm. What is its area, in square cm?
  10. A right triangle has a hypotenuse of 74 km and one leg of 24 km. What is its area, in square km?
  11. A right triangle has a hypotenuse of 125 km and one leg of 120 km. What is its area, in square km?
  12. A right triangle has a hypotenuse of 20 cm and one leg of 12 cm. What is its area, in square cm?
  13. A right triangle has a hypotenuse of 102 km and one leg of 90 km. What is its area, in square km?
  14. A right triangle has a hypotenuse of 51 m and one leg of 24 m. What is its area, in square m?
  15. A right triangle has a hypotenuse of 222 cm and one leg of 72 cm. What is its area, in square cm?
  16. A right triangle has a hypotenuse of 125 cm and one leg of 35 cm. What is its area, in square cm?
  17. A right triangle has a hypotenuse of 100 km and one leg of 96 km. What is its area, in square km?
  18. A right triangle has a hypotenuse of 259 km and one leg of 84 km. What is its area, in square km?
  19. A right triangle has a hypotenuse of 427 cm and one leg of 420 cm. What is its area, in square cm?
  20. A right triangle has a hypotenuse of 328 km and one leg of 320 km. What is its area, in square km?
More free practice: fieldbooklearning.com/uk/practice/year-9/area-of-a-right-triangle-from-the-hypotenuse-and-a-leg/

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Answer key: Area of a right triangle from the hypotenuse and a leg

  1. 330
  2. 120
  3. 840
  4. 840
  5. 5280
  6. 3360
  7. 84
  8. 60
  9. 270
  10. 840
  11. 2100
  12. 96
  13. 2160
  14. 540
  15. 7560
  16. 2100
  17. 1344
  18. 10290
  19. 16170
  20. 11520