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
Name
Date
Score/ 16
Question 1
An equilateral triangle has sides of 8 cm. Find its exact height.
Answer
Question 2
A right triangle has the side adjacent to a 60° angle equal to 2 cm. Find the side opposite the 60° angle. Give an exact answer.
Answer
Question 3
An equilateral triangle has sides of 4 cm. Find its exact height.
Answer
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.
Answer
Question 5
An equilateral triangle has sides of 2 cm. Find its exact height.
Answer
Question 6
A right triangle has hypotenuse 8 cm and a 30° angle. Find the side opposite the 30° angle. Give an exact answer.
Answer
Question 7
An equilateral triangle has sides of 12 cm. Find its exact height.
Answer
Question 8
A right triangle has two equal sides of 5 cm and a 45° angle. Find the hypotenuse. Give an exact answer.
Answer
Question 9
An equilateral triangle has sides of 10 cm. Find its exact height.
Answer
Question 10
A right triangle has hypotenuse 12 cm and a 60° angle. Find the side adjacent to the 60° angle. Give an exact answer.
Answer
Question 11
An equilateral triangle has sides of 14 cm. Find its exact height.
Answer
Question 12
A right triangle has two equal sides of 7 cm and a 45° angle. Find the hypotenuse. Give an exact answer.
Answer
Question 13
An equilateral triangle has sides of 10 cm. Find its exact height.
Answer
Question 14
A right triangle has hypotenuse 18 cm and a 30° angle. Find the side opposite the 30° angle. Give an exact answer.
Answer
Question 15
An equilateral triangle has sides of 8 cm. Find its exact height.
Answer
Question 16
A right triangle has two equal sides of 5 cm and a 45° angle. Find the hypotenuse. Give an exact answer.
Answer
Write your answers right on the page. · Free from eurekami.com