Lesson Pythagorean Theorum E

One of the MOST famous One of the MOST famous equations of all time One of the MOST famous equations of all time is the pythagorean theorum! One of the MOST famous equations of all time is the pythagorean theorum! a ^{2} + b^{2} = c^{2}One of the MOST famous equations of all time is the pythagorean theorum! a ^{2} + b^{2} = c^{2}The pythagorean theorum The pythagorean theorum a ^{2} + b^{2} = c^{2}The pythagorean theorum can only be used in a right triangle a ^{2} + b^{2} = c^{2}The pythagorean theorum can only be used in a right triangle a ^{2} + b^{2} = c^{2}The pythagorean theorum can only be used in a right triangle a ^{2} + b^{2} = c^{2}The pythagorean theorum can only be used in a right triangle a ^{2} + b^{2} = c^{2}right triangle The pythagorean theorum can only be used in a right triangle The letter c stands for a ^{2} + b^{2} = c^{2}The pythagorean theorum can only be used in a right triangle The letter c stands for the hypotenuse a ^{2} + b^{2} = c^{2}The pythagorean theorum can only be used in a right triangle The letter c stands for c the hypotenuse a ^{2} + b^{2} = c^{2}The pythagorean theorum can only be used in a right triangle The letter c stands for c the hypotenuse which is the side across a ^{2} + b^{2} = c^{2}from the right angle The pythagorean theorum can only be used in a right triangle The letter c stands for c the hypotenuse which is the side across a ^{2} + b^{2} = c^{2}from the right angle 'C' stands for in the pythagorean theorum. Which letter stands for the hypotenuse in the pythagorean theorum? a b c d Which side is the hypotenuse? Brown Red Yellow Which is the hypotenuse? Black Green Pink A Which side is the hypotenuse? AB AC BC B C The a and b stand for the other two sides a ^{2} + b^{2} = c^{2}The a and b stand for the other two sides a ^{2} + b^{2} = c^{2}The a and b stand for the other two sides a a ^{2} + b^{2} = c^{2}The a and b stand for the other two sides a a ^{2} + b^{2} = c^{2}The a and b stand for the other two sides b a a ^{2} + b^{2} = c^{2}The a and b stand for the other two sides but it doesn't matter which is which. b a a ^{2} + b^{2} = c^{2}The a and b stand for the other two sides but it doesn't matter which is which. a b a ^{2} + b^{2} = c^{2}b a ? c ? a ? c ? b When using the pythagorean theorum When using the pythagorean theorum When using the pythagorean theorum First, determine which side is c x 2 5 When using the pythagorean theorum First, determine which side is c c x 2 5 When using the pythagorean theorum then use the formula First, determine which side is c c x 2 5 When using the pythagorean theorum then use the formula First, determine which side is c a ^{2} + b^{2} = c^{2}c x 2 5 When using the pythagorean theorum then use the formula First, determine which side is c 2 ^{2} + 5^{2} = x^{2}a ^{2} + b^{2} = c^{2}Plug in values c x 2 5 When using the pythagorean theorum then use the formula First, determine which side is c 4 + 25 = x ^{2}2 ^{2} + 5^{2} = x^{2}a ^{2} + b^{2} = c^{2}Square the numbers Plug in values c x 2 5 When using the pythagorean theorum then use the formula First, determine which side is c 4 + 25 = x ^{2}2 ^{2} + 5^{2} = x^{2}a ^{2} + b^{2} = c^{2}29 = x ^{2}Square the numbers Plug in values Add c x 2 5 When using the pythagorean theorum then use the formula First, determine which side is c 4 + 25 = x ^{2}2 ^{2} + 5^{2} = x^{2}a ^{2} + b^{2} = c^{2}29 = x ^{2}√29 = x Square the numbers Plug in values Square root both sides Add c x 2 5 ^{2}3 + 3 ^{2} =^{2}x = √ 5 x a ^{2} + b^{2} = c^{2}^{2}+ 2 ^{2} =+ = x ^{2}= x ^{2}^{2}6 2 x Let's try solving for a triangle with a known hypotenuse Let's try solving for a triangle with a known hypotenuse 12 10 x Let's try solving for a triangle with a known hypotenuse a ^{2} + b^{2} = c^{2}12 10 x Let's try solving for a triangle with a known hypotenuse x ^{2} + 10^{2} = 12^{2}a ^{2} + b^{2} = c^{2}Plug in values 12 10 x Let's try solving for a triangle with a known hypotenuse x ^{2} + 100 = 144x ^{2} + 10^{2} = 12^{2}a ^{2} + b^{2} = c^{2}Plug in values Square the numbers 12 10 x Let's try solving for a triangle with a known hypotenuse x ^{2} + 100 = 144x ^{2} + 10^{2} = 12^{2}a ^{2} + b^{2} = c^{2}- 100 - 100 Plug in values Square the numbers 12 10 x Let's try solving for a triangle with a known hypotenuse x ^{2} + 100 = 144x ^{2} + 10^{2} = 12^{2}a ^{2} + b^{2} = c^{2}- 100 x ^{2} = 44- 100 Plug in values Square the numbers 12 10 x Let's try solving for a triangle with a known hypotenuse x ^{2} + 100 = 144x ^{2} + 10^{2} = 12^{2}a ^{2} + b^{2} = c^{2}- 100 x ^{2} = 44- 100 Plug in values Square root both sides Square the numbers 12 10 x = √44 x a ^{2} + b^{2} = c^{2}x ^{2} +2 = 2 10 x 8 a ^{2} + b^{2} = c^{2}x ^{2} +x ^{2} +8 2 = = 10 2 10 x 8 a ^{2} + b^{2} = c^{2}x ^{2} +x ^{2} +x ^{2}= - 64 8 64 2 = = - 64 100 10 2 10 x 8 a ^{2} + b^{2} = c^{2}x ^{2} +x ^{2} +x ^{2}x = = - 64 8 36 64 2 = = - 64 100 10 2 10 x 8 |

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