Notes Special Rt Triangles 30­60­90
Name____________________________
Pre­AP Geometry
Special Right Triangles
Notes 30o­60o­90o
Date___________________Per_______
30o
30o
30o
30o
Hypotenuse
Long
Leg
60o
60o
60o
60o
Short Leg
SL LL HYP The SL is always
opposite the 30o angle.
x The LL is always
opposite the 60o
angle.
The Hyp is always
opposite the 90o
angle.
Place the side measures given, on the correct sides of the triangles.
4,
,
8
20 10
30o
300
600
300
600
60o
Find the lengths of the other two sides of the triangle.
2.
1.
x
4 ft
7 m
x
30o
y
60o
y
3.
4.
30o
y
y
2xo
x
xo
10 km
1
Notes Special Rt Triangles 30­60­90
5.
6.
y
30
x
x
12 cm
o
11 m
60o
y
8. 7.
20 in
5 ft
z
x
y
60o
y
xo
9.
The perimeter of an equilateral triangle is 32 centimeters. Find the length of an altitude
of the triangle in simplest radical form.
10.
An altitude of an equilateral triangle is 18 cm. Find the perimeter of the triangle in simplest radical form.
11. Find the perimeter of the trapezoid.
18 cm
6cm
12. Find the perimeter of R
P
Q
2