Find exact side lengths using 30°, 45° and 60°
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.C.6, HSG.SRT.C.8 · England: GCSE Higher Geometry
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Question 1
An equilateral triangle has sides of 16 cm. Find its exact height.
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Question 2
A right triangle has hypotenuse 6 cm and a 60° angle. Find the side adjacent to the 60° angle. Give an exact answer.
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Question 3
An equilateral triangle has sides of 6 cm. Find its exact height.
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Question 4
A right triangle has hypotenuse 4 cm and a 60° angle. Find the side adjacent to the 60° angle. Give an exact answer.
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Question 5
An equilateral triangle has sides of 14 cm. Find its exact height.
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Question 6
A right triangle has two equal sides of 6 cm and a 45° angle. Find the hypotenuse. Give an exact answer.
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Question 7
An equilateral triangle has sides of 4 cm. Find its exact height.
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Question 8
A right triangle has hypotenuse 12 cm and a 30° angle. Find the side opposite the 30° angle. Give an exact answer.
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Question 9
An equilateral triangle has sides of 18 cm. Find its exact height.
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Question 10
A right triangle has two equal sides of 7 cm and a 45° angle. Find the hypotenuse. Give an exact answer.
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Question 11
An equilateral triangle has sides of 8 cm. Find its exact height.
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Question 12
A right triangle has the side adjacent to a 60° angle equal to 7 cm. Find the side opposite the 60° angle. Give an exact answer.
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Question 13
An equilateral triangle has sides of 18 cm. Find its exact height.
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Question 14
A right triangle has hypotenuse 6 cm and a 30° angle. Find the side opposite the 30° angle. Give an exact answer.
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Question 15
An equilateral triangle has sides of 8 cm. Find its exact height.
Answer
Question 16
A right triangle has hypotenuse 18 cm and a 30° angle. Find the side opposite the 30° angle. Give an exact answer.
Answer
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