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Exemplo 9.24 de Prealgebra, 9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
Use Properties of Angles, Triangles, and the Pythagorean Theorem: exemplo 9.24
Problema e solução em inglês, como no livro original.
Kelvin is building a gazebo and wants to brace each corner by placing a wooden bracket diagonally as shown. How far below the corner should he fasten the bracket if he wants the distances from the corner to each end of the bracket to be equal? Approximate to the nearest tenth of an inch.
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
Solução
Step 1. Read the problem. Step 2. Identify what you are looking for. the distance from the corner that the bracket should be attached Step 3. Name. Choose a variable to represent it. Let x = the distance from the corner Step 4. Translate.
Write the appropriate formula.
Substitute.Step 5. Solve the equation.
Isolate the variable.
Use the definition of the square root.
Simplify. Approximate to the nearest tenth.Step 6. Check:
Yes.Step 7. Answer the question. Kelvin should fasten each piece of wood approximately 7.1" from the corner.
Sua vez
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
John puts the base of a ladder feet from the wall of his house. How far up the wall does the ladder reach?
Como foi?