To get from point a to point c you must avoid walking through a pond. you must walk 34 m south and 41m east. how many meters would be saved if it were possible to make a way through the pond?
The diagram is of a triangle, the highest point of the triangle is A. the corner is B and the furthest from A is C
The answers are
a. 34^2 + 41^2 = 2,837 and √12837= 53.26 m
b. 34^2 x 41^2 = 2, 837 and √12837= 121.74 m
c. 34 x 41 = 2000 and √2000= 121.74 m
The correct answer is a. 34^2 + 41^2 = 2,837 and √12837 = 53.26 m.
To calculate the distance saved, you need to find the hypotenuse of the triangle formed by walking directly from A to C. The sides of the triangle are the distances walked south and east, which are given as 34 m and 41 m, respectively.
Using the Pythagorean theorem, the square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides (a^2 + b^2).
In this case, a = 34 m and b = 41 m. Plugging these values into the equation, you get:
c^2 = 34^2 + 41^2 = 2837.
To find the length of the hypotenuse, you take the square root of 2837, which is approximately 53.26 m.
Therefore, if it were possible to make a way through the pond, 53.26 m would be saved in walking distance.