Pythagoras theorem is a fundamental concept in mathematics that states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Here are some real-life examples where Pythagoras theorem can be applied:
Building construction: Architects and builders use Pythagoras theorem to ensure that the corners of a building are at right angles. They can measure the distance between two corners, then use Pythagoras theorem to calculate the length of the diagonal line between them, which should be equal to the hypotenuse of a right-angled triangle.
Surveying land: Surveyors use Pythagoras theorem to measure the distance between two points on a piece of land. They can use the theorem to calculate the length of the diagonal line between the two points, which is equal to the hypotenuse of a right-angled triangle.
Finding the shortest distance between two points: Pythagoras theorem can be used to calculate the shortest distance between two points on a map or in real life. If you know the x and y coordinates of the two points, you can use Pythagoras theorem to find the length of the straight line between them.
Astronomy: Astronomers use Pythagoras theorem to calculate the distances between stars and planets. They can use the theorem to calculate the length of the diagonal line between two points in space.
Sports: In some sports, such as basketball or volleyball, players use Pythagoras theorem to determine the distance of their jump. By measuring the height of the jump and the distance from where they started to where they landed, they can use Pythagoras theorem to calculate the length of the jump.
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Pythagoras theorem is a fundamental concept in mathematics that states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Here are some real-life examples where Pythagoras theorem can be applied:
Building construction: Architects and builders use Pythagoras theorem to ensure that the corners of a building are at right angles. They can measure the distance between two corners, then use Pythagoras theorem to calculate the length of the diagonal line between them, which should be equal to the hypotenuse of a right-angled triangle.
Surveying land: Surveyors use Pythagoras theorem to measure the distance between two points on a piece of land. They can use the theorem to calculate the length of the diagonal line between the two points, which is equal to the hypotenuse of a right-angled triangle.
Finding the shortest distance between two points: Pythagoras theorem can be used to calculate the shortest distance between two points on a map or in real life. If you know the x and y coordinates of the two points, you can use Pythagoras theorem to find the length of the straight line between them.
Astronomy: Astronomers use Pythagoras theorem to calculate the distances between stars and planets. They can use the theorem to calculate the length of the diagonal line between two points in space.
Sports: In some sports, such as basketball or volleyball, players use Pythagoras theorem to determine the distance of their jump. By measuring the height of the jump and the distance from where they started to where they landed, they can use Pythagoras theorem to calculate the length of the jump.
Answer:
Some of the important real-life uses of the Pythagorean theorem are as follows:
Used in construction and architecture.
Used in two-dimensional navigation to find the shortest distance.
Used to survey the steepness of the slopes of mountains or hills.
To calculate the length of staircase required to reach a window.