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HW 14: Study Guide (Special Right Triangle)
Contributed by: Garcia
Find the value of y in special triangle (45-45-90) below. 
The value of y  is 
14
7√2
7√2      2
14√2       2
49
Find the value of y in special triangle (45-45-90) below. 
The value of y  is 
8√2
8
4√2
8√2      2
16
Find the value of y in special triangle (45-45-90) below. 
The value of y  is 
5√3
5√2
10
5√2
      2
10√2
       2
Find the value of y in special triangle (45-45-90) below. 
The value of y  is 
6
3√2
3√2      2
6√2       2
3√3
Find the value of y in special triangle (45-45-90) below. 
The value of y  is 
4√2      2
8√2       2
16
8
4√2
Find the value of x in special right triangle (45-45-90) below.  
x = 
In 450-450-900, the hypotenuse is 2 times √2 and the sides are ≅.
Part B. The value of m is
Part A. What is the value of n? 
4
16
8
4
8
16
8√3
8√2
4√2
4√2
16√2
8√2
16√2
       3
 √2
       2
8√2
      2
8√3
      3
Find the value of a and b in special triangle (45-45-90) below. 
PART A. The value of a is
PART B. The value of b is 
54√3
54√2
54
108
54√2
       2
Find the value of a and b in special right triangle (45-45-90) below. 
PART A. The value of a is
PART B. The value of b is 
37√3
37√2
37
74
74√2
Find the value of y in special right triangle (45-45-90) below.  
y = 
Find the value of x in special right triangle (45-45-90) below.  
x = 
Find the value of x in special right triangle (45-45-90) below.  
x = 
What is the length of the diagonal of a square if its side length is  9√2 inches? 
The length of the diagonal is 
inches
inches
inches
What is the length of the diagonal of a square if its side length is 3√2  inches? 
The length of the diagonal is 
inches
inches
inches
What is the length of the diagonal of a square if its side length is 5√2  inches? 
The length of the diagonal is 
inches
inches
inches
What is the length of the diagonal of a square if its side length is 13√2  inches? 
The length of the diagonal is 
inches
What is the length of the diagonal of a square if its side length is 15√2  inches? 
The length of the diagonal is 
inches
What is the length of the diagonal of a square if its side length is 8√2  inches? 
The length of the diagonal is 
inches
What is the length of the diagonal of a square if its side length is √2  inches? 
The length of the diagonal is 
inches
What is the length of the diagonal of a square if its side length is 19√2  inches? 
The length of the diagonal is 
inches
Multiple Choice. Use the properties of Special Right Triangle. 
Part B. The value of h is
Part A. What is the value of k? 
9
36
18
9
18
36
9√3
18√3
36√3
9√3
36√3
18√3
 18√3        3
18√3       3
9√3      3
9√3      3
 What is the value of x? 
The value of x is 
 What is the value of x? 
The value of x is 
 What is the value of x? 
The value of x is 
 What is the value of x? 
The value of x is 

An escalator lifts people to the second floor, 19 ft above the first floor. 

The escalator rises at a 300 angle. How far does a person travel from the 

bottom to the top of the escalator? 

feet
Multiple Choice. Use the properties of Special Right Triangle. 
Part B. The value of h is
Part A. What is the value of k? 
9
36
18
9
18
36
9√3
18√3
36√3
9√3
36√3
18√3
 18√3        3
18√3       3
9√3      3
9√3      3
Multiple Choice. Use the properties of Special Right Triangle. 
Part B. The value of k is
Part A. What is the value of h? 
5
20
10
10
5
20
5√3
10√3
20√3
5√3
20√3
10√3
 5√3        3
5√3       3
5√3       2
5√3       2
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
7√2
7√3
14
49
The value of c is 
The value of d is...
7√3
14
7√2
14√3
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
18
9√3
9√2
81
The value of c is 
The value of d is...
9√2
18
18√3
9√3
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
2√2
2
4
2√3
The value of c is 
The value of d is...
2√2
4
4√3
2√3
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
17√2
17
34
17√3
The value of c is 
The value of d is...
17√2
17
17√3
34√3
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
15√2
15
30
30√2
The value of c is 
The value of d is...
30
15
15√3
30√3
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
23√2
23
46
46√2
The value of c is 
The value of d is...
46
23
23√3
46√3
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
3
6√2
6
3√2
The value of c is 
The value of d is...
3
3√3
6√3
6
Find the value of a, b, c, and d. 
The value of a is 
The value of b is...
5
5√2
10
10√2
The value of c is 
The value of d is...
5
5√3
10√3
10
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