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 right triangle has legs 16 m and 30 m. How long is the hypotenuse, in m?
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Question 2
A right triangle has hypotenuse 26 ft and one leg 10 ft. How long is the other leg, in ft?
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Question 3
A rectangular park is 10 m by 9 m. How long is the diagonal path across it? Round to 1 decimal place.
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Question 4
A right triangle has legs 8 ft and 15 ft. How long is the hypotenuse, in ft?
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Question 5
A right triangle has hypotenuse 17 ft and one leg 8 ft. How long is the other leg, in ft?
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Question 6
A rectangular park is 4 m by 2 m. How long is the diagonal path across it? Round to 1 decimal place.
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Question 7
A right triangle has legs 12 yd and 16 yd. How long is the hypotenuse, in yd?
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Question 8
A right triangle has hypotenuse 25 ft and one leg 7 ft. How long is the other leg, in ft?
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Question 9
A ladder leans against a wall. Its foot is 9 m from the wall and it reaches 3 m up the wall. How long is the ladder? Round to 1 decimal place.
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Question 10
A right triangle has legs 12 ft and 16 ft. How long is the hypotenuse, in ft?
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Question 11
A right triangle has hypotenuse 34 cm and one leg 16 cm. How long is the other leg, in cm?
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Question 12
A ladder leans against a wall. Its foot is 6 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 13
A right triangle has legs 15 yd and 36 yd. How long is the hypotenuse, in yd?
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Question 14
A right triangle has hypotenuse 5 yd and one leg 3 yd. How long is the other leg, in yd?
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Question 15
A ladder leans against a wall. Its foot is 6 m from the wall and it reaches 2 m up the wall. How long is the ladder? Round to 1 decimal place.
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Question 16
A right triangle has legs 3 ft and 4 ft. How long is the hypotenuse, in ft?
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