Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem: exemplo 3.39

Problema e solução em inglês, como no livro original.

Use the Pythagorean Theorem to find the length of the hypotenuse shown below.

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Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.

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Step 1. Read the problem.
Step 2. Identify what you are looking for.	the length of the hypotenuse of the triangle
Step 3. Name. Choose a variable to represent it. Label side c on the figure.	Let c = the length of the hypotenuse.
Step 4. Translate.
Write the appropriate formula.	$a^{2} + b^{2} = c^{2}$
Substitute.	$3^{2} + 4^{2} = c^{2}$
Step 5. Solve the equation.	$9 + 16 = c^{2}$
Simplify.	$25 = c^{2}$
Use the definition of square root.	$\sqrt{25} = c$
Simplify.	$5 = c$
Step 6. Check.
Step 7. Answer the question.	The length of the hypotenuse is 5.

Step 1. Read the problem.
Step 2. Identify what you are looking for.	the length of the hypotenuse of the triangle
Step 3. Name. Choose a variable to represent it. Label side c on the figure.	Let c = the length of the hypotenuse.
Step 4. Translate.
Write the appropriate formula.	$a^{2} + b^{2} = c^{2}$
Substitute.	$3^{2} + 4^{2} = c^{2}$
Step 5. Solve the equation.	$9 + 16 = c^{2}$
Simplify.	$25 = c^{2}$
Use the definition of square root.	$\sqrt{25} = c$
Simplify.	$5 = c$
Step 6. Check.
Step 7. Answer the question.	The length of the hypotenuse is 5.