Common Core 8.G.B.7 worksheet
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, KS3 Geometry and measures
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Question 1
A right triangle has hypotenuse 13 cm and one leg 5 cm. Find the other leg, to 1 decimal place.
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Question 2
A right triangle has hypotenuse 5 cm and one leg 3 cm. How long is the other leg, in cm?
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Question 3
A right triangle has legs 10 cm and 24 cm. How long is the hypotenuse, in cm?
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Question 4
A rectangular park is 6 m by 7 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 m and one leg 45 m. How long is the other leg, in m?
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Question 6
A rectangular park is 77 m long and 76 m wide. Instead of walking along two sides, you cut across the diagonal. How many metres shorter is the shortcut? Round to the nearest metre.
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Question 7
A box is 6 cm by 18 cm by 27 cm. What is the length of the longest straight rod that fits inside, from one corner to the opposite corner, in cm?
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Question 8
A 10 m ladder leans against a wall. Its foot is 6 m from the wall. How high up the wall does it reach, in m?
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Question 9
A right triangle has legs 9 ft and 12 ft. How long is the hypotenuse, in ft?
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Question 10
The legs of a right triangle are 8 cm and 7 cm. Find the hypotenuse, to 1 decimal place.
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Question 11
Priya says the hypotenuse of a right triangle with legs 5 and 12 is 17, because you add the legs. What is it really?
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Question 12
A right triangle has hypotenuse 14 cm and one leg 4 cm. Find the other leg, to 1 decimal place.
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Question 13
A right triangle has hypotenuse 17 yd and one leg 8 yd. How long is the other leg, in yd?
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Question 14
A right triangle has legs 8 cm and 15 cm. How long is the hypotenuse, in cm?
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Question 15
A ladder leans against a wall. Its foot is 8 m from the wall and it reaches 6 m up the wall. How long is the ladder? Round to 1 decimal place.
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Question 16
A right triangle has hypotenuse 17 m and one leg 15 m. How long is the other leg, in m?
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