The Pythagorean Theorem is a useful tool for navigation and reading maps.
When we understand how the sides of a right triangle work together, navigators can find the shortest path between two points.
Coordinates: Let’s find the distance between point A (3, 4) and point B (7, 1).
Calculation: We use the formula [ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ].
Distance: This becomes: [ d = \sqrt{(7 - 3)^2 + (1 - 4)^2} ] [ = \sqrt{16 + 9} ] [ = \sqrt{25} ] [ = 5 ].
This shows how the Pythagorean Theorem can help us find distances accurately!
The Pythagorean Theorem is a useful tool for navigation and reading maps.
When we understand how the sides of a right triangle work together, navigators can find the shortest path between two points.
Coordinates: Let’s find the distance between point A (3, 4) and point B (7, 1).
Calculation: We use the formula [ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ].
Distance: This becomes: [ d = \sqrt{(7 - 3)^2 + (1 - 4)^2} ] [ = \sqrt{16 + 9} ] [ = \sqrt{25} ] [ = 5 ].
This shows how the Pythagorean Theorem can help us find distances accurately!