8.3 – Special Right Triangles
(30, 60, 90)
Learning Target 1: to be able to apply the rule of a 30-60-90 triangle.
s
h
s l  h
2
2
2
Simplified
l
h
60
s
30
l
Special Right Triangles
(30, 60, 90)
• The length of the hypotenuse is 2 times the length of
the shorter leg
• The length of the longer leg is the length of the
shorter leg times 3
2x
60
x
30
x 3
Special Right Triangles
(30, 60, 90)
• Given the short leg, solve for the unknown variables.
Special Right Triangles
(30, 60, 90)
• Given the short leg, solve for the unknown variables.
Special Right Triangles
(30, 60, 90)
• Given the long leg, solve for the unknown variables.
Special Right Triangles
(30, 60, 90)
• Given the long leg, solve for the unknown variables.
Special Right Triangles
(30, 60, 90)
• Given the long leg, solve for the unknown variables.
Special Right Triangles
(30, 60, 90)
• Given the hypotenuse, solve for the unknown variables.
Special Right Triangles
(30, 60, 90)
• Given the hypotenuse, solve for the unknown variables.
Homework 
WS