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**Special Right Triangles**

Isosceles Right Triangles 45 –

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1 = x2 45o 2 = x2 1 x 45o

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**Ratio Leg:Leg:Hypotenuse**

1 leg 1 leg hypotenuse

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**Isosceles right triangles are all similar**

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**Ratio Leg:Leg:Hypotenuse**

1 leg 1 leg hypotenuse

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**Ex. # 1 – Find the lengths of missing sides**

y 5cm

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30 – 60 – 90 Triangles

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12 + x2 = 22 x2 = 3 30o 2 2 x ? 60o 1 2

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**2 1 Ratio, hypotenuse:short leg:long leg 30o long leg hypotenuse 60o**

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**30 – 90 – 60 triangles are all similar**

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**2 1 Ratio, hypotenuse:short leg:long leg 30o long leg hypotenuse 60o**

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**2 1 Ex. # 2 – Find the lengths of the missing sides 30o hypotenuse**

long leg 60o 1 short Leg y y 7 60o 30o x

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451/ /32,35

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Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

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