Jimmy ran 20 meters west from home and then turned north to jog 25 meters. Jimmy ran 45 meters, but could have arrived at the same point by jogging in a straight line. (3 points)
Drawing a straight line from the starting point to the ending point would create a____triangle.
You can use the____ to find the direct straight-line distance for Jimmy.
If Jimmy took the direct line, he would have traveled approximately____meters.
3.5
32
# Slope
:: Proportional relationship
acute
7
# obtuse
::right
:45
:: Pythagorean Theorem
Linear Equation
The triangle drawn by connecting the starting point, the point 20 meters west of the starting point, and the final point where Jimmy ended up is a right triangle.
You can use the Pythagorean Theorem to find the direct straight-line distance for Jimmy. The Pythagorean Theorem states that the square of the hypotenuse (the direct line distance) is equal to the sum of the squares of the other two sides. In this case, the direct line distance would be the square root of (20^2 + 25^2) = sqrt(400 + 625) = sqrt(1025) = 32 meters.
If Jimmy took the direct line, he would have traveled approximately 32 meters.