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Similar Figures Proportions Worksheet  Form

Similar Figures Proportions Worksheet Form

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in this example we're given that the triangle shown are similar and were asked to find the value of X remember that if two triangles are similar the ratios of their corresponding sides are equal notice that the corresponding sides for the triangle shown have lengths five and twenty twelve and X and 13 and 52 so the ratios five over twenty twelve over X and 13 over 52 must all be equal now to find the value of x let's use the proportion formed by the first two ratios five over 20 equals 12 over X to solve a proportion we use cross products five times x equals 20 times 12 or 5x equals 240 finally we divide both sides of the equation by 5 to get x equals 48 it's important to understand that if we used the proportion 12 over x equals 13 over 52 we would get the same answer x equals 48

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