NAME _______________________
Right Triangles #3
Fill in the spaces below, based on the
30-60-90 triangle given below.
1. AB = _______
BC = _______
AC = _______
CD = _______
12
AD = _______
BD = _______
2. AB = _______
32
BC = _______
AC = _______
CD = _______
AD = _______
BD = _______
15
3. AB = _______
BC = _______
AC = _______
CD = _______
AD = _______
BD = _______
4. AB = _______
BC = _______
AC = _______
x
CD = _______
x+12
AD = _______
BD = _______
A
D
90
60
30
B
C
5.
An equilateral triangle has a perimeter of 30 cm. Find the following:
a. Side of the  = ______
b. altitude of  = _______
c. Area of the  = ______
d. Radius of inscribed circle = _______
e. Radius of circumscribed circle = ________
6.
The altitude to the side of an equilateral triangle is 24 cm. Find the following:
a. Side of the  = ______
b. perimeter of  = _______
c. Area of the  = ______
d. Radius of inscribed circle = _______
e. Radius of circumscribed circle = ________
Geometry Honors
Right Triangles #3
Livingston High School
Mathematics Department
7.
The radius of a circumscribed circle for an equilateral triangle is 18 cm. Find the
following:
a. Side of the  = ______
b. altitude of  = _______
c. Perimeter of the  = ______
d. Area of the  = _______
e. Radius of the inscribed circle = ________
8. The area of a square is 256 cm2. Find the following:
a. Side of the square = _______ b. Perimeter of square = _______
c. Diagonal of square = ______ d. Radius of circumscribed circle = ______
9. The area of a square is 80 cm2. Find the following:
a. Side of the square = _______ b. Perimeter of square = _______
c. Diagonal of square = ______ d. Radius of circumscribed circle = ______
10. The perimeter of a square is 163 cm. Find the following:
a. Side of the square = _______ b. Area of the square = _______
c. Diagonal of square = ______ d. Radius of circumscribed circle = ______
11. The diagonal of a square is 48 cm. Find the following:
a. Side of the square = _______ b. Perimeter of square = _______
c. Area of the square = ______ d. Radius of circumscribed circle = ______
12. The radius of the circumscribed circle around a square is 6 cm. Find the
following:
a. Side of the square = _______ b. Perimeter of square = _______
c. Diagonal of square = ______ d. Area of the square = _______
Geometry Honors
Right Triangles #3
Livingston High School
Mathematics Department
NAME _______________________
13.
Right Triangle Worksheet #3
What are the exact lengths of the other
two sides?
A
62
B
C
14. In ABC the side AC = 60 cm and the
mC = 30 while mB = 45.
60
B
C
15.
A
In ABC the shortest side AB = 62 cm
and the mC = 30 while mB = 45.
B
What are the exact lengths of the other
two sides?
In ABC, mA=45 and mACB = 120.
If the distance from B to AC = 18, find the following:
x = _____________
y = _______
w = ______
z = _______
A
w
18
y
x
C
z
D
B
16.
x = ______________ y = _________
246
w
y
A
x
In ABC, mA=45 and mACB = 120.
If the longest side of ABC = 246, find the
following:
C
Geometry Honors
Right Triangles #3
w = ________
z
D
Livingston High School
Mathematics Department
z = _________