Pythagorean Theorem: Lesson 6 Homework Practice Use The

Most kids measured TV screens or ladder heights. But Sarah’s Nonna had just bought the lighthouse at auction. "It’s a fixer-upper," her grandmother had said, handing Sarah a dusty floor plan. "But the old spiral staircase is gone. We need to install a new fire escape ladder from the lantern room to the ground."

The next day in class, Mr. Elian held up Sarah’s homework. "This is what I wanted," he said. "You didn't just plug numbers into a formula. You found the hidden right triangle in a real place." Lesson 6 Homework Practice Use The Pythagorean Theorem

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. Most kids measured TV screens or ladder heights

"If I put the ladder straight down from A to B," Sarah murmured, "it's 40 feet. But the ground slopes away. The building code says the ladder’s foot must rest on stable ground at Point C, 30 horizontal feet from the lighthouse wall." "But the old spiral staircase is gone

Her pencil moved to the margin of the homework sheet. Lesson 6: The Pythagorean Theorem. a² + b² = c².

That’s when Sarah saw it—a perfect right triangle.

That night, Nonna called a contractor. "Fifty feet," she told him firmly. "My granddaughter did the math."