Using the Pythagorean TheoremThe Pythagorean Theorem shows the relationship of the lengths of thesides of a right triangle to each other. This equation shows that thesum of the squares of the two shorter sides (the legs) equals thesquare of the third side (the hypotenuse). The hypotenuse is alwaysopposite the right angle. Use this formula to find any one side whenyou know the other two.The length of the hypotenuse of a right triangle is 5 feet. The lengthof one leg is 3 feet. What is the length of the other leg?Square thesides given.Substitute.Subtract and findthe square root.C = 5'a? + b2 = c232 + b2 = 529 - 9 + b2 = 25 – 9b2 = 16b = V16 = 49 + b2 = 25a = 3'Find the unknown side in each right triangle.2. A 20-foot ladder is placed against theside of a house. The bottom of the ladderis 12 feet from the house. How high upwill the ladder reach on the wall?1. The length of the hypotenuse is 13 inches.The length of one leg is 5 inches. What isthe length of the other leg?a? + b2 = c252 + b2 = 13225 + b2 = 16925 - 25 + b2 = 169 - 25b2 = 144b = V144 = 12Answer12 inchesAnswer4. The community van service travels on a40-mile route west from the airport todowntown. From downtown, the busgoes 30 miles north to the city busstation at Cortland. What is the length ofthe direct bus trip directly from Cortlandback to the airport? (Hint: Draw apicture of the van's route.)3. Marco drives 18 miles south, turns east,and then drives 24 miles to get from hispet shop to his house. If a new road isbuilt in a straight line from Marco's shopto his house, how long will the new roadbe? (Hint: Draw a right triangle with theinformation given.)AnswerAnswer37

Name: Using the Pythagorean TheoremThe Pythagorean Theorem shows the relati
Uploaded: 2024-03-05T11:52:21.000Z
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Description: Using the Pythagorean TheoremThe Pythagorean Theorem shows the relationship of the lengths of thesides of a right triangle to each other. This equation shows that thesum of the squares of the two shorter sides (the legs) equals thesquare of the thir