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If triangle ABC has vertices A(1, 1), B(4, 5), and C(7, 2), what is the length o

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Question: If triangle ABC has vertices A(1, 1), B(4, 5), and C(7, 2), what is the length of side AB?

Options:

  1. 4.0
  2. 5.0
  3. 3.0
  4. 6.0

Correct Answer: 5.0

Solution: 

Using the distance formula: AB = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.0.

If triangle ABC has vertices A(1, 1), B(4, 5), and C(7, 2), what is the length o

Practice Questions

Q1
If triangle ABC has vertices A(1, 1), B(4, 5), and C(7, 2), what is the length of side AB?
  1. 4.0
  2. 5.0
  3. 3.0
  4. 6.0

Questions & Step-by-Step Solutions

If triangle ABC has vertices A(1, 1), B(4, 5), and C(7, 2), what is the length of side AB?
  • Distance Formula – The distance between two points (x1, y1) and (x2, y2) is calculated using the formula √((x2 - x1)² + (y2 - y1)²).
  • Coordinate Geometry – Understanding how to apply coordinates of points in a Cartesian plane to find distances and other geometric properties.
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