MathIQO worksheet
Apply the Pythagorean theorem to right triangles · Grade 8 · E2.4
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Date: ______________________
- 1
A right triangle has legs of 24 cm and 7 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 2
A right triangle has legs of 7 cm and 24 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 3
A right triangle has legs of 8 cm and 6 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 4
A right triangle has legs of 12 cm and 16 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 5
A right triangle has legs of 15 cm and 8 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 6
A right triangle has legs of 16 cm and 12 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 7
A right triangle has a hypotenuse of 25 cm and one leg of 24 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
- 8
A right triangle has a hypotenuse of 15 cm and one leg of 12 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
- 9
A right triangle has a hypotenuse of 25 cm and one leg of 7 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
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Worksheet code: eyJzIjoic3BhdGlhbC1weXRoYWdvcmVhbiIsImQiOls3Njg1NzgyNjgsNDA0Njc4MTM5LDE5NjQyNjY4ODAsMTU2NDQxMzc5MSw3MzQzMDc4NDcsMTAxMjkxNzE0MCw4NDk5Njg5NjksMjAyMzIxODkyMyw1Mzg4NzA0ODNdLCJ2IjoxfQ.54eb92a8094f
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Answer key · Apply the Pythagorean theorem to right triangles
- 1.25 — c = √(24² + 7²) = √625 = 25 cm.
- 2.25 — c = √(7² + 24²) = √625 = 25 cm.
- 3.10 — c = √(8² + 6²) = √100 = 10 cm.
- 4.20 — c = √(12² + 16²) = √400 = 20 cm.
- 5.17 — c = √(15² + 8²) = √289 = 17 cm.
- 6.20 — c = √(16² + 12²) = √400 = 20 cm.
- 7.7 — leg = √(25² − 24²) = √49 = 7 cm.
- 8.9 — leg = √(15² − 12²) = √81 = 9 cm.
- 9.24 — leg = √(25² − 7²) = √576 = 24 cm.