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How do you find the distance between two points using the Pythagorean Theorem?

The distance formula uses the coordinates of points and the Pythagorean theorem to calculate the distance between points. If A and B form the hypotenuse of a right triangle, then the length of AB can be found using this formula: leg2 + leg2 = hypotenuse2.

The Distance Formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2 where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

How do you find the distance between two points without graphing?

how do i find the distance of two points when no graph is given

  1. The distance formula is really just a restatement of the Pythagorean theorem.
  2. (change in x)2 + (change in y)2 = (distance)2
  3. From there, if we solve for distance, we find:
  4. D = √(Δx2 + Δy2)
  5. If you have any further questions, please let me know.

How do you find the distance between two points on a Cartesian plane?

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

How is train length calculated?

Length of train = Length of platform / Difference in time x Time taken to cross the man. Or, Length of train = 175 meters.

What is the length of a train?

Conventional freight trains in India can average nearly 2.8 km (2800 m). Freight trains with a total length of three or four times that average are possible with the advent of distributed power, or additional locomotive units between or behind long chains of freight cars (referred to as a “consist”).

How do you find the speed and distance of a train?

Speed of Train

  1. Length of the train = 150m. Speed of the train = 90 km/hr. = 90 × 5/18 m/sec.
  2. Length of the train = 340 m. Length of the tunnel = 160m. Therefore, length of the train + length of the tunnel = (340 + 160) m = 500m.
  3. Speed of the train = 90 km/hr. Speed of the train = 90 × 5/18 m/sec = 25 m/sec.

How do you solve for time?

To solve for time, divide the distance traveled by the rate. For example, if Cole drives his car 45 km per hour and travels a total of 225 km, then he traveled for 225/45 = 5 hours.

What is the formula of relative speed?

When two bodies move in opposite direction, then the Relative Speed = Sum of Speeds i.e for e.g. for a person sitting in a train moving with a Speed of 40 km/hr in the west direction, another train which is going towards east with a Speed of 40 km/hr, will appear to move at a Speed of (40+40) = 80 km/hr.

How long is a train which passes a signal in twenty seconds?

600 m