Pick One... To solve the system of equations using the (Elimination, Substitution) method, I would (Multiply Equation 1 by -1 an
d add the equations together, Multiply equation 2 by -3 and add the equation together, Replace X in equation 1 with -x+15, Replace Y in equation 1 with -x+15, or Multiply equation 2 by -1 and add the equations together) in order to solve for Y.
1 answer:
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Answer:
The correct option is 1.
Step-by-step explanation:
Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.
It means AB and BC are legs of the right angled triangle ABC.
Side AB lies on the y-axis because the x-coordinate of both A and B is 0.
Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.
Divide both sides by 2.
The value of a is 2. So the coordinates of triangle ABC are
The area of a triangle is
The area of triangle ABC is
The area of triangle ABC is 102. Therefore the correct option is 1.