a car travels 30 km due north and 40 km due east .how far is it from the starting point?
by now you should recognize a 3-4-5 right triangle
To find the distance from the starting point to the final destination, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the car traveled 30 km due north and 40 km due east, forming a right triangle. The 30 km is the length of one side (the vertical side) and the 40 km is the length of the other side (the horizontal side). The distance from the starting point to the final destination is the length of the hypotenuse.
To calculate the distance, we square the length of the vertical side (30 km) and square the length of the horizontal side (40 km). Then, we take the square root of the sum of the squares:
Distance = √(30^2 + 40^2)
= √(900 + 1600)
= √2500
= 50 km
Therefore, the distance from the starting point to the final destination is 50 km.
To find the distance from the starting point, 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, the car travels 30 km due north and 40 km due east. These two distances form the two perpendicular sides of a right-angled triangle. Let's call the distance from the starting point to the final point "d."
Using the Pythagorean theorem, we can calculate the distance:
d^2 = (30 km)^2 + (40 km)^2
Simplifying the equation:
d^2 = 900 km^2 + 1600 km^2
d^2 = 2500 km^2
Taking the square root of both sides to solve for "d":
d = sqrt(2500 km^2)
Calculating the square root:
d = 50 km
Therefore, the car is 50 km away from the starting point.