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 8 cm and 6 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 2
A right triangle has legs of 12 cm and 9 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 3
A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse, in centimetres?
Warm-upAnswer:
- 4
A right triangle has legs of 35 cm and 12 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 5
A right triangle has legs of 16 cm and 12 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 6
A right triangle has legs of 21 cm and 20 cm. How long is the hypotenuse, in centimetres?
On levelAnswer:
- 7
A right triangle has a hypotenuse of 29 cm and one leg of 21 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
- 8
A right triangle has a hypotenuse of 25 cm and one leg of 24 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
- 9
A right triangle has a hypotenuse of 10 cm and one leg of 6 cm. How long is the other leg, in centimetres?
ChallengeAnswer:
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Answer key · Apply the Pythagorean theorem to right triangles
- 1.10 — c = √(8² + 6²) = √100 = 10 cm.
- 2.15 — c = √(12² + 9²) = √225 = 15 cm.
- 3.5 — c = √(3² + 4²) = √25 = 5 cm.
- 4.37 — c = √(35² + 12²) = √1369 = 37 cm.
- 5.20 — c = √(16² + 12²) = √400 = 20 cm.
- 6.29 — c = √(21² + 20²) = √841 = 29 cm.
- 7.20 — leg = √(29² − 21²) = √400 = 20 cm.
- 8.7 — leg = √(25² − 24²) = √49 = 7 cm.
- 9.8 — leg = √(10² − 6²) = √64 = 8 cm.