Accelerated math 2
Worksheet Special Triangles
For each triangle, one length is given. Find the missing lengths. Leave answers in
simplest radical form.
1.
2.
3.
45o
30o
12
45
3
o
9
60o
4.
5.
45o
6.
7 2
60o
2 3
30o
5
60o
45o
30o
7.
8.
60o
30o
3 3
8
45o
9.
10.
11.
30o
4 2
4 5
3 6
45o
Find the area of each figure below.
12.
13.
14.
30o
4
7
18
18
18
Area = _________
Area = ________________
Area = ___________
15.
Area = ____________
16. The side lengths of a triangle are given. Determine whether it is a 45- 45- 90
triangle or a 30 -60 -90 triangle or neither.
a. 11,11, 3
b. 10,10,10 2
c. 8, 16, 8 3
d. 5 2, 5 2 10
Word problems Special Triangles
Accelerated Math 2
1. Find the area of a square with a diagonal of
2.
2. What is the length of a diagonal of a square with side lengths of 12.
3. What is the area of an equilateral triangle with side lengths of 4?
4. Your basketball team wins your league championship. Each member of the
team gets a championship badge to sew on the teams jackets. The badge is
an equilateral triangle that has side lengths of 2 3 inches. Find the height
of the badge.
5. A square board game has a path that runs along the length of one of its
diagonals. The path has a length of 24 inches. What is the area of the
board?
6. A construction sign is an equilateral triangle with sides measuring 30
inches. What is the height of the sign?
7. Using the diagram of a person rolling a suitcase, find the value of x so that it
can roll at a 45o angle with the ground.