Find x and y.
Find z. Round to the nearest tenth.
Solve for x
Solve for x
45˚- 45˚- 90˚
Triangle Theorem
Given that the perimeter of a square is 36 inches, find
the length of the diagonals of the square.
45˚- 45˚- 90˚
Triangle Theorem
A ladder leaning against a wall makes a 45 angle with the ground. The
base of the ladder is 3 m from the building. How high above the ground
is the top of the ladder? What is the distance to climb the ladder?
45˚- 45˚- 90˚
Triangle Theorem
Grain elevators are conveyor belts used throughout the Midwest to take
produce, like wheat, to the top of a silo for storage. How long would the belt of
a grain elevator need to be if the bottom is 60 feet from the base of a silo that is
60 feet high? Round your answer to the nearest tenth.
7. 6 2
8. 8 22
9. 4
10. 8 2
7
7. 9 2
8. 32 2 9. 4
ground and 8 2toclimb.
10. 8 feet above the
24. 8 feet above
the ground
and
8 2toclimb
7
8.
9.
24. 8 feet above
the ground
and
8 2toclimb
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
2
2
s +l = h
2
Simplified
l
h
30°
l
60°
s
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
30°
2s
s 3
60°
s
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.
Special Right Triangles
(30, 60, 90)
Special Right Triangles
(30, 60, 90)
The perimeter of an equilateral triangle is
24 in. Find the length of the altitude.
The altitude of an equilateral triangle is 9
cm. Find the perimeter of the triangle.
Homework ☺
WS