Lesson 6 Homework Practice Use The Pythagorean Theorem <AUTHENTIC>

Sarah smiled, looking out the window toward the sea. The lighthouse’s new ladder would lean exactly 50 feet—no more, no less. And forty years of silence would end with the sound of safe, steady footsteps climbing up into the light. If the contractor only had a 45-foot ladder, how much closer to the lighthouse would the base have to be to still reach the lantern room? (Answer: 20.6 ft away, using 45² – 40² = b² → b ≈ 20.6 ft)

That’s when Sarah saw it—a perfect right triangle. Lesson 6 Homework Practice Use The Pythagorean Theorem

Her pencil moved to the margin of the homework sheet. Lesson 6: The Pythagorean Theorem. a² + b² = c². Sarah smiled, looking out the window toward the sea

She spread the blueprint across the kitchen table. The lantern room (Point A) was 40 feet above the rocky ground (Point B). The base of the cliff (Point C) was 30 feet away from the lighthouse door because of a jagged drop-off. If the contractor only had a 45-foot ladder,