Special Right Triangles

1
Special Right Triangles

• 45 45 90
• and
• 30 60 90

2
45
Y
X
45
Z
X
The legs are congruent because sides opposite
congruent angles are congruent
3
Legs are congruent
Hypotenuse leg times the v2
hypotenuse
leg
leg
4
Y
12ft
8in
X
45
45
X
Y
X 6v2 ft
X 8in
Y 6v2 ft
Y 8v2 in
5
The two right triangles are congruent so Z2X
60
Z
Z
60
60
Z
6
Hypotenuse 2 short legs Long leg short leg
?3
Hypotenuse
Long Leg
60
Short Leg
7
Y
16
X
Y
60
60
7
X
162X
X 7v3
Y 14
X 8
Y 8v3
8
Y
Y
5v3
9
60
60
X
X
5v3Xv3
X 3v3
Y 6v3
X 5
Y 10
9
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