11.4 Pythagorean Theorem Definitions Pythagorean Theorem

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Presentation transcript:

11.4 Pythagorean Theorem 1 2 3 Definitions Pythagorean Theorem Practice Problems

Definition Right Triangle Hypotenuse Leg Has 1 angle that is 90˚ Denoted as a small square in the corner Hypotenuse Longest side Never touches the 90˚ angle Leg Remaining 2 sides of the triangle Both are always touching the 90˚ angle Can be different lengths, but both are always smaller than the hypotenuse

Right Triangles Hypotenuse Leg Right Angle Leg

Note: it does not matter which leg is called a and b Pythagorean Theorem a2 + b2 = c2 c a where… a and b are legs b c is the hypotenuse Note: it does not matter which leg is called a and b

Finding the Length of the Hypotenuse Find the length of the hypotenuse of a right triangle if a=8 and b=15

Finding the Length of a Missing Side 25 a 10

Checking to See if a Triangle is a Right Triangle Given the side lengths of 20, 21, 29; determine if the triangle is a right triangle Both sides are equal, so it is a right triangle

More Checking to See if a Triangle is a Right Triangle Given the side lengths of 8, 10, 12; determine if the triangle is a right triangle Both sides are not equal, so it is not a right triangle

Practice Problems Page 608 Problems 13-28, 41, 42 Even due today Odd due next class