Mr Lee start from her home,and goes 250m due south,then 200m due east,and finally 100 due south to a shopping mall.Find the distance between her home and shopping mall.
403?
yep.
To find the distance between Mr. Lee's home and the shopping mall, we can use the Pythagorean theorem. The Pythagorean theorem 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, we can consider Mr. Lee's home as the starting point (let's call it point A) and the shopping mall as the final destination (let's call it point B). The path followed by Mr. Lee consists of three segments: 250m due south, 200m due east, and 100m due south.
Calculating the distance traveled on each segment:
Segment 1: 250m due south
Segment 2: 200m due east
Segment 3: 100m due south
The total distance traveled by Mr. Lee can be represented as the hypotenuse of a right-angled triangle:
AB = √((250m+100m)^2 + 200m^2)
Simplifying this equation:
AB = √(350m^2 + 200m^2)
AB = √(122,500m^2 + 40,000m^2)
AB = √(162,500m^2)
AB = 403m
Therefore, the distance between Mr. Lee's home and the shopping mall is 403 meters.