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Find the length of the sides. Problem 5 :. The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively and a right angle triangle is formed. Find the length of each side of the equilateral triangle.

Solution :. Problem 2 :. Let "x" be the length of the given rod. Cost of one meter of the given rod is. Cost of one meter of the rod which is 2 meter shorter is. Because length can not be a negative number, we can ignore "- 10". So, the length of the given rod is 12 m. Let "x" be one of the parts of Then the other part is 25 - x. Then, we have. Using Pythagorean theorem, we have. Subtract from both sides. Divide both sides by 2. Because length can not be negative.

So, the other two sides of the triangle are 12 cm and 16 cm. Let "x" be the length of each side of the equilateral triangle. Then, the sides of the right angle triangle are. In the above three sides, the side represented by x - 12 is hypotenuse Because that is the longest side.

So, the length of each side of the equilateral triangle is 17 units. Apart from the problems given above, if you need more word problems on quadratic equations. Please click here. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here. If you have any feedback about our math content, please mail us :. We always appreciate your feedback. You can also visit the following web pages on different stuff in math.

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Solving linear equations using substitution method. Solving linear equations using cross multiplication method. Solving one step equations. Solving quadratic equations by factoring. Solving quadratic equations by quadratic formula. Solving quadratic equations by completing square.

Nature of the roots of a quadratic equations. Sum and product of the roots of a quadratic equations. Algebraic identities. Solving absolute value equations. Solving Absolute value inequalities. Graphing absolute value equations. Combining like terms. Square root of polynomials. Remainder theorem. Synthetic division. Logarithmic problems. Simplifying radical expression. Comparing surds.

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Empty Layer. Professional Learning. BetterLesson reimagines professional learning by personalizing support for educators to support student-centered learning. See what we offer. Sign Up Log In. Algebra II Colleen Werner. Solving Quadratic Equations Add to Favorites 9 teachers like this lesson.

SWBAT Assess the structure of a quadratic equation and then select and carry out a solution strategy factoring, completing the square, or using the Quadratic Formula. Big Idea Its important to be flexible in solving quadratic equations. Some equations lend themselves to factoring or completing the square while others are best tackled with the Quadratic Formula.

Lesson Author. Grade Level. Derive the quadratic formula from this form. MP1 Make sense of problems and persevere in solving them. MP3 Construct viable arguments and critique the reasoning of others. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure. Warm-Up 15 minutes. Direct Instruction 20 minutes. Practice and Reinforcement 40 minutes. Exit Ticket and Assignment 15 minutes. Previous Lesson.

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