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 5 cm and 12 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 3
A right triangle has legs of 8 cm and 15 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 4
A right triangle has legs of 20 cm and 21 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 5
A right triangle has legs of 20 cm and 21 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 6
A right triangle has legs of 12 cm and 35 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 7
A right triangle has a hypotenuse of 10 cm and one leg of 6 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
- 8
A right triangle has a hypotenuse of 29 cm and one leg of 20 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
- 9
A right triangle has a hypotenuse of 15 cm and one leg of 12 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
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Worksheet code: eyJzIjoic3BhdGlhbC1weXRoYWdvcmVhbiIsImQiOlsxOTEyNDI1MzA2LDIxMTI4NTA4NjMsMTU3NDM3NjksMTY5MTM5OTIxOCw2NzYyNjcxNjAsMTk4MjcwNTI2OCwxNzQyMDM3MzYyLDI3Mzg2MjQwMywxNjEyMzAzMzJdLCJ2IjoxfQ.91f7a9d90694
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Answer key · Apply the Pythagorean theorem to right triangles
- 1.25 — c = √(24² + 7²) = √625 = 25 cm.
- 2.13 — c = √(5² + 12²) = √169 = 13 cm.
- 3.17 — c = √(8² + 15²) = √289 = 17 cm.
- 4.29 — c = √(20² + 21²) = √841 = 29 cm.
- 5.29 — c = √(20² + 21²) = √841 = 29 cm.
- 6.37 — c = √(12² + 35²) = √1369 = 37 cm.
- 7.8 — leg = √(10² − 6²) = √64 = 8 cm.
- 8.21 — leg = √(29² − 20²) = √441 = 21 cm.
- 9.9 — leg = √(15² − 12²) = √81 = 9 cm.