alex134567891
alex134567891 alex134567891
  • 18-02-2022
  • Mathematics
contestada

Consider AABC with vertices A B C (3,1), (1, 2),and (4, 2) as shown in the accompanying diagram.

Is the triangle a right triangle? Justfify.

Consider AABC with vertices A B C 31 1 2and 4 2 as shown in the accompanying diagram Is the triangle a right triangle Justfify class=

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sqdancefan
sqdancefan sqdancefan
  • 20-02-2022

Answer:

  yes; AB ⊥ BC

Step-by-step explanation:

If the triangle is to be a right triangle, the slopes of two sides must be opposite reciprocals. The slope is the ratio of rise to run.

  mAB = rise/run = -3/4

  mBC = rise/run = 4/3

These slopes, -3/4 and 4/3 are opposite reciprocals (their product is -1), so ...

  AB ⊥ BC . . . the triangle is a right triangle

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