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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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Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

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