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Ipatiy [6.2K]
3 years ago
11

Given vertices A(0,0), B(5,0),C(0,5), determine whether triangle ABC is a right triangle. a. yes c. insufficient information b.

no
Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

Yes, this triangle is a right triangle.


Step-by-step explanation:

Side AB lies on the x-axis and is thus horizontal.  Side AC lies on the y-axis and is thus vertical.  Sides AB and AC are therefore perpendicular to each other.  This alone is enough info for us to conclude that this is a right triangle.

Side BC could be thought of as the hypotenuse.

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tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
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