Geo 8.1: Special Right Triangles 45-45-90
The 45-45-90 right triangle has 
sides that fit into a special ratio.

Which ratio describes the ratio
of the side lengths?
1 : 1 : √2
2 : 2 : √x
1 : 1 : 2 
1 : 2 : √2
Find the hypotenuse of the right triangle.
Note: √ = the square root
8
8√2
8√3
16
45o
8
Given that ∆ABC is an isosceles right triangle find each angle measure.
angle measures
A
∡A            ∡B         ∡C
B
C
Drag the lengths to their correct sides based on theinformation given.
45
3√2
?
3
?
not used: 
45
3
6
?
Drag the lengths to their correct sides based on theinformation given.
45
9√2
?
9
45
not used: 
9
?
9√3
?
Match the sides
45
x√2
?
x
45
x
?
x = 
y = 
Find the value of x and y. Round your 
answer to the nearest tenth.
round to nearest tenth
x
45o
11
y
x = 
y = 
Find the value of x and y. Round your 
answer to the nearest tenth.
x
45o
y
4
x = 
y = 
Find the value of x and y. Round your 
answer to the nearest tenth.
x
45o
y
12√2
x = 
y = 
Find the value of x and y. Round your 
answer to the nearest tenth.
x
45o
y
18
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