GH CH8­2.notebook
February 02, 2015
Chap 8.2
Special Right Triangles
Objective: The student will use the properties of 45­45­90 and 30­60­90 triangles.
VA SOL G.8: The student will solve real­world problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and trig.
Find x.
Find x.
x
5
5
3
3
x
1
GH CH8­2.notebook
45-45-90 Triangle Theorem
February 02, 2015
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
1.
18
y
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
3.
y
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
5.
y
3.2
2
GH CH8­2.notebook
February 02, 2015
30-60-90 Triangle Theorem
13. How far is the throw from home to second?
hy
pot
short
enu
se
90
f
B t.
middle
C
.
90
ft
A
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
4.
2.
7
x
14
36
y
3
GH CH8­2.notebook
February 02, 2015
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
15. You set up a makeshift greenhouse by leaning a square pane of glass against a building. The glass is
4.5 ft long, and it makes a 30 degree angle with the ground. How much horizontal distance between
the building and the glass is there to grow plants? Round to the nearest inch.
6.
0
4.5
4
y
ft
60
0
30
x
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
18.
18.
b = 20
45
20
b = 20
0
45
a
b
20
0
a
b
4
GH CH8­2.notebook
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
February 02, 2015
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
19.
19.
45
30
0
0
45
30
0
c
a
0
c
18
b
b
Find the value of each variable. If your answer is not an integer, express it in
simplest radical form.
30-60-90 Triangle Theorem
45-45-90 Triangle Theorem
19.
45
30
0
0
c
18
5
GH CH8­2.notebook
30-60-90 Triangle Theorem
February 02, 2015
45-45-90 Triangle Theorem
6