Rosemary wants to plant a tulip garden in her backyard. She needs to build a triangular flowerbed using landscaping timbers. How many feet of landscaping timbers does Rosemary need to purchase? You may have solved for x , but that does not mean we have answered the question yet. Remember that the problem asked us to determine the total length of landscaping timbers that Rosemary must purchase for her flowerbed. Use the information you know to determine the total length of landscaping timbers that Rosemary must purchase in order to completely surround her flowerbed.
The Pythagorean Theorem can also be used to determine lengths of segments that may be formed by multiple right triangles or other polygons. The Pythagorean Theorem will only work to show you the relationship between the side lengths of a right triangle. But once you know that information, you can use it to solve larger problems. A boat is sailing parallel to the shore and passes a lighthouse.
The beam from the lighthouse is visible for 14 miles. The boat passes the lighthouse along the path shown in the diagram and at its closest point is 11 miles from the lighthouse. For how many miles will the captain of the boat be able to see the lighthouse? Use the Pythagorean Theorem to set up an equation for k. Now that you have correctly set up your equation, solve for k. Express your answer both as an irrational number and approximated to the nearest tenth of a mile.
Now that we know the value of k , we can use that to answer the original question. A large pillow is in the shape of a pentagon as shown. It's used by architects, engineers, carpenters, painters, and a number of other professionals on construction sites during many stages of the building process.
Once a new building's foundation is laid and the framing starts to go up, you'll still need to calculate right angles for a whole list of other work. The Pythagorean theorem can be used to build staircases, roofs, and can even be used to calculate the angle for safely placing a ladder when you need to work in high areas. It's one of the most popular mathematical rules out there because it comes in handy any time you need to create a 90 degree angle.
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Identify your strengths and social style plus the training and positions you're best suited for. Herzing Blog Expert advice to help you choose the right training program and succeed in your career. Chat with us , powered by LiveChat. Book a Tour X. Ask a Question X. Explore X. Is Career Training right for you? If you enter 16 and 14 into the calculator and press solve you will get an answer of This number isn't of much use until we convert it to feet and inches. Below are the steps needed to convert this to feet and inches using a regular calculator.
The Pythagorean Theorem can also be used with a regular calculator provided it is equipped with a square root function key. Below are the sequence of keystrokes, using the 16' x 14' example. Here are a few practice problems, if you would like to try you're hand? If you got all these right, congratulations, you now have a new carpentry trick up your sleeve.
This calculator simplifies this process by leaps and bounds over the two previously mentioned methods. Here are the only keystrokes needed for the same results. Here is how the theory is applied to roof framing. Around B. They took a length of rope knotted into 12 equal sections and stretched the rope around three stakes arranged in a triangle.
When they had 3 lengths between two stakes, 4 lengths between the next two, and 5 lengths back to the starting point the hypotenuse of the right triangle was formed.
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