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triangle ABC is shown on the grid. point A is (-1,5) point B is (4,5) point C is (-1,1) what is the perimeter of triangle ABC

Sagot :

Sqdancefanidn

Answer:

  9 +√41 ≈ 15.4 units

Step-by-step explanation:

You want the perimeter of the triangle with vertices A(-1, 5), B(4, 5), and C(-1, 1).

Side lengths

Side AB is on the horizontal line y=5, so its length is the difference of the x-coordinates of those points:

  AB = 4 -(-1) = 5

Side AC is on the vertical line x=-1, so its length is the difference of the y-coordinates of those points:

  AC = 5 -1 = 4

Side BC is the hypotenuse of this right triangle with leg lengths 4 and 5. Its length is found using the Pythagorean theorem:

  BC = √(AB² +AC²) = √(5² +4²) = √41 ≈ 6.4

Perimeter

The perimeter of the triangle is the sum of the lengths of its sides:

  P = AB +AC +BC = 5 + 4 + √41

  P = 9 +√41 ≈ 15.4 . . . . . units

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