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Apply the Pythagorean theorem to right triangles · Grade 8 · E2.4

Name: ______________________

Date: ______________________

1
A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse, in centimetres?
Warm-up
Answer:
2
A right triangle has legs of 15 cm and 8 cm. How long is the hypotenuse, in centimetres?
Warm-up
Answer:
3
A right triangle has legs of 15 cm and 8 cm. How long is the hypotenuse, in centimetres?
Warm-up
Answer:
4
A right triangle has legs of 21 cm and 20 cm. How long is the hypotenuse, in centimetres?
On level
Answer:
5
A right triangle has legs of 40 cm and 9 cm. How long is the hypotenuse, in centimetres?
On level
Answer:
6
A right triangle has legs of 9 cm and 40 cm. How long is the hypotenuse, in centimetres?
On level
Answer:
7
A right triangle has a hypotenuse of 10 cm and one leg of 8 cm. How long is the other leg, in centimetres?
Challenge
Answer:
8
A right triangle has a hypotenuse of 17 cm and one leg of 15 cm. How long is the other leg, in centimetres?
Challenge
Answer:
9
A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. How long is the other leg, in centimetres?
Challenge
Answer:

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Worksheet code: eyJzIjoic3BhdGlhbC1weXRoYWdvcmVhbiIsImQiOlsxMDQzNTEyNzk2LDQzMDU3NjgsMTg5NjkyODkyNSw2MTEwNTE5NDYsMTk5MDc4NTg2Miw5MTQwNDk3NSw4NjMwODQ5MjgsMjUxNzc0MDY1LDE2MjMwMjY4NzJdLCJ2IjoxfQ.0b28327081d8

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Answer key · Apply the Pythagorean theorem to right triangles

1.
5 — c = √(3² + 4²) = √25 = 5 cm.
2.
17 — c = √(15² + 8²) = √289 = 17 cm.
3.
17 — c = √(15² + 8²) = √289 = 17 cm.
4.
29 — c = √(21² + 20²) = √841 = 29 cm.
5.
41 — c = √(40² + 9²) = √1681 = 41 cm.
6.
41 — c = √(9² + 40²) = √1681 = 41 cm.
7.
6 — leg = √(10² − 8²) = √36 = 6 cm.
8.
8 — leg = √(17² − 15²) = √64 = 8 cm.
9.
12 — leg = √(13² − 5²) = √144 = 12 cm.