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Lesson 4-6 Example 5

4-6. Lesson 4-6 Example 5. Solve. RAMPS Mr. Sato is building a wheelchair ramp for his house. The step to the front of the house is 7 inches tall. If he starts the ramp 24 inches away from the step, what is the length of the ramp?. Understand Read the problem. Write what you know.

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Lesson 4-6 Example 5

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  1. 4-6 Lesson 4-6 Example 5 Solve. RAMPS Mr. Sato is building a wheelchair ramp for his house. The step to the front of the house is 7 inches tall. If he starts the ramp 24 inches away from the step, what is the length of the ramp? Understand Read the problem. Write what you know. The height of the step is 7 inches. The ramp starts 24 inches away from the step.

  2. 4-6 Lesson 4-6 Example 5 Plan Pick a strategy. One strategy is to draw a diagram. Then use the Pythagorean Theorem to find the length of the ramp.

  3. 4-6 Lesson 4-6 Example 5 Solve Substitute 7 for a and 24 for b in the Pythagorean Theorem and solve for c. a2 + b2 = c2 72 + 242 = c2 49 + 576 = c2 625 = c2 25 = c The length of the ramp is 25 inches.

  4. 4-6 Lesson 4-6 Example 5 Check Check your answer using a related subtraction sentence.

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