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Name:______________________Date: ___________Chapter 5: Properties and Attributes of TrianglesSection 5.8: Applying Special Right Triangles DO NOW31318204222754000020000For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form.2647958890040000200001.2. Simplify each expression.3. 4. Objectives of Lesson: ________________________________________5534025160020020000___________________________________________________________________________________________________________________________________________________________________________When would I ever use this? To calculate the correct size of bandana for a dog.A diagonal of a square________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Example 1: Finding Side Lengths in a 45°- 45?- 90? Triangle40843202019304000020000Find the value of x. Give your answer in simplest radical form.Example 2: Finding Side Lengths in a 45°- 45?- 90? Triangle40843202019304000020000Find the value of x. Give your answer in simplest radical form.Example 3: Finding Side Lengths in a 45°- 45?- 90? Triangle40843202019304000020000Find the value of x. Give your answer in simplest radical form.Example 4: Finding Side Lengths in a 45°- 45?- 90? Triangle40843202019304000020000Find the value of x. Give your answer in simplest radical form.Example 5: Craft ApplicationEric is cutting a square of material for a tablecloth. The table’s diagonal is 36 inches. He wants the diagonal of the tablecloth to be an extra 10 inches so it will hang over the edges of the table. What size square should Eric cut to make the tablecloth? Round to the nearest inch. Example 6: Craft ApplicationSarah wants to make a bandana for her dog by folding a square cloth into a 45°-45°-90° triangle. Her dog’s neck has a circumference of about 32 cm. The folded bandana needs to be an extra 16 cm long so Sarah can tie it 41795702571754000020000around her dog’s neck. What should the side length of the square be? Round to the nearest centimeter.Example 7: Craft ApplicationCaelyn’s dog is wearing a square bandana with a side length of 42 cm. What would you expect the circumference of her dog’s neck to be? Round to the nearest centimeter.___________________________________________________________________________________________________________________________________________________________________________________________________________________________________Example 8: Finding Side Lengths in a 30?-60?-90? Triangle41890952241554000020000Find the values of x and y. Give your answers in simplest radical form.Example 9: Finding Side Lengths in a 30?-60?-90? Triangle4972050227965020000Find the values of x and y. Give your answers in simplest radical form.Example 10: Finding Side Lengths in a 30?-60?-90? Triangle4876800220345020000Find the values of x and y. Give your answers in simplest radical form.Example 11: Finding Side Lengths in a 30?-60?-90? Triangle4714876222250020000Find the values of x and y. Give your answers in simplest radical form.Example 12: Finding Side Lengths in a 30?-60?-90? Triangle4714876222250020000Find the values of x and y. Give your answers in simplest radical form.Example 13: Finding Side Lengths in a 30?-60?-90? Triangle4714876222250020000Find the values of x and y. Give your answers in simplest radical form.Example 14: Using the 30?-60?-90? Triangle Theorem519112555880000857254921250An ornamental pin is in the shape of an equilateral triangle. The length of each side is 6 centimeters. Josh will attach the fastener to the back along AB. Will the fastener fit if it is 4 centimeters long?Example 15: Application42843454718054000020000The frame of the clock shown is an equilateral triangle. The length of one side of the frame is 20 cm. Will the clock fit on a shelf that is 18 cm below the shelf above it?Example 16: ApplicationWhat if…? A manufacturer wants to make a larger clock with a height of 30 centimeters. What is the length of each side of the frame? Round to the nearest tenth.smilardo. - homework: worksheets: link to book and more ................
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