Pythagoras' theorem
8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.B.6, 8.G.B.7 · England: GCSE Foundation Geometry, GCSE Higher Geometry
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Score/ 16
Question 1
A ladder leans against a wall. Its foot is 7 m from the wall and it reaches 7 m up the wall. How long is the ladder? Round to 1 decimal place.
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Question 2
A right triangle has hypotenuse 75 ft and one leg 21 ft. How long is the other leg, in ft?
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Question 3
A right triangle has legs 28 ft and 96 ft. How long is the hypotenuse, in ft?
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Question 4
A rectangular park is 4 m by 10 m. How long is the diagonal path across it? Round to 1 decimal place.
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Question 5
A right triangle has hypotenuse 51 cm and one leg 24 cm. How long is the other leg, in cm?
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Question 6
A right triangle has legs 15 yd and 36 yd. How long is the hypotenuse, in yd?
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Question 7
A rectangular park is 2 m by 8 m. How long is the diagonal path across it? Round to 1 decimal place.
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Question 8
A right triangle has hypotenuse 51 m and one leg 24 m. How long is the other leg, in m?
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Question 9
A right triangle has legs 12 yd and 16 yd. How long is the hypotenuse, in yd?
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Question 10
A ladder leans against a wall. Its foot is 12 m from the wall and it reaches 4 m up the wall. How long is the ladder? Round to 1 decimal place.
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Question 11
A right triangle has hypotenuse 25 m and one leg 7 m. How long is the other leg, in m?
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Question 12
A right triangle has legs 14 ft and 48 ft. How long is the hypotenuse, in ft?
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Question 13
A rectangular park is 7 m by 8 m. How long is the diagonal path across it? Round to 1 decimal place.
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Question 14
A right triangle has hypotenuse 50 cm and one leg 14 cm. How long is the other leg, in cm?
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Question 15
A right triangle has legs 28 yd and 96 yd. How long is the hypotenuse, in yd?
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Question 16
A rectangular park is 4 m by 9 m. How long is the diagonal path across it? Round to 1 decimal place.
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