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Published bySamantha Nolan Modified over 4 years ago

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**Pythagorean Theorem Properties of Special Right Triangles**

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**What is the Pythagorean Theorem used for?**

to find the length of a missing side in a right triangle n 5 4

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**Pythagorean Theorem Formula a and b represent the legs**

a2 + b2= c2 c represents the hypotenuse a and b represent the legs

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**Always opposite of the 90 degree angle**

Where is it located??? c Leg a Hypotenuse Always opposite of the 90 degree angle b Leg

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Remember!!! The Pythagorean Theorem can ONLY be used on Right Triangles. The Legs are ALWAYS the sides ADJACENT (next to) the 90 degree angle. C is ALWAYS the Hypotenuse (the slant). The Hypotenuse is ALWAYS opposite the 90 degree angle.

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**What is the length of the hypotenuse in the triangle below?**

a2 + b2= c2 2 4 h

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**Plug in the value for each variable in the formula.**

a2 + b2= c2 = h2 2 4 h

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**What is the length of the hypotenuse in the triangle below?**

2 4 h a2 + b2 = c2 = h2 = h2 20 = h2

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**What is the length of the hypotenuse in the triangle below?**

a2 + b2 = c2 2 4 h = h2 = h2 20 = h2 = h 20 = h 2 5

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**Try this one . . . Find the hypotenuse of the right triangle below? 4**

6 h

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**Find the hypotenuse of the right triangle below?**

a2 + b2 = c2 = h2 = h2 52 = h2 52 = h 7.21 = h = h2 = h2 52 = h2 52 = h 7.21 = h 4 6 h

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Try this one . . . What is the length of the missing leg in the triangle below? 5 3 a2 + b2 = c2 x

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**Find the hypotenuse of the right triangle below?**

a2 + b2 = c2 32 + x2 = 52 5 3 9 + x2 = 25 x x2 = 16 x = 16 x = 4

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