Learning Target #5
Recognize special right triangle relationships and use them to solve for missing sides
1
Special Right Triangles
1. 45 ­45 ­90
2.
30 ­60 ­90
Special Right Triangle #1: 45 ­ 45 ­ 90 45
45
2
ex: Find x and y.
y
5
x
3
ex: Find a and b.
45
2
b
a
4
ex: Find j and k.
√6
k
j
5
ASSIGNMENT­ Find the missing sides.
1.
4.
√8
7
2.
5.
3
20
6.
3.
√5
10
6
Special Right Triangle #2: 30 ­ 60 ­ 90 30
60
7
ex: Find r and u
60
r
5
30
u
8
ex: Find y and z.
30
24
z
y
9
ex: Find p and q.
q
60
p
12
10
ex: A tipping platform is a ramp used to unload trucks. How high is the end of an 80­ft. ramp when it is tipped by a 30 angle? A 45 angle?
height
of ramp
ram
p
11
ASSIGNMENT
p. 554 #12­20
12
ex: The perimeter of a square is 36 in. Find the length of a diagonal.
13
ex: The side length of an equilateral triangle is 5 cm. Find the length of an altitude of the triangle.
14
ex: The diagonal of a square is 26 in. Find the length of a side.
15
ASSIGNMENT
Learning Target #5 Assignment
16