Point x and y are 12m north and 5m east respectively of point z. Calculate xy
Using the Pythagorean theorem, we can calculate the length of the hypotenuse (xy) of a right triangle.
The horizontal distance between x and z is the same as the distance between y and z (5m), so we can draw a horizontal line connecting x and y, creating a right triangle with one leg measuring 12m (the distance between x and z) and the other leg measuring 5m (the distance between y and z).
Therefore, using the Pythagorean theorem:
xy² = (12m)² + (5m)²
xy² = 144m² + 25m²
xy² = 169m²
Taking the square root of both sides:
xy = √169m²
xy = 13m
Therefore, the distance between points x and y is 13m.
To calculate xy, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, point x is 12m north of point z, and point y is 5m east of point z. Since these points are perpendicular to each other, we can create a right-angled triangle with point z as the 90-degree angle.
We can label the distance between point x and point y as xy. To find xy, we need to find the lengths of the sides of the right-angled triangle formed by points x, y, and z.
The distance between x and y, which is parallel to the x-axis (east-west direction), is given by the length of y in meters. So, the length of xy is 5m.
Therefore, xy is equal to 5 meters.