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A triangle has vertices on a coordinate grid at 
A(10,3),B(10,-10), and 
C(-3,3). What is the length, in units, of 
bar(AB) ?
Answer: units

A triangle has vertices on a coordinate grid at A(10,3),B(10,10) A(10,3), B(10,-10) , and C(3,3) C(-3,3) . What is the length, in units, of AB \overline{A B} ?\newlineAnswer: \square units

Full solution

Q. A triangle has vertices on a coordinate grid at A(10,3),B(10,10) A(10,3), B(10,-10) , and C(3,3) C(-3,3) . What is the length, in units, of AB \overline{A B} ?\newlineAnswer: \square units
  1. Identify Coordinates: Identify the coordinates of points AA and BB. Point AA has coordinates (10,3)(10,3) and point BB has coordinates (10,10)(10,-10).
  2. Calculate Length: Use the distance formula to calculate the length of AB\overline{AB}. Since both points AA and BB have the same xx-coordinate, the length of AB\overline{AB} is the difference in their yy-coordinates. Length of AB\overline{AB} = y2y1=103=(10+3)=13=13|y_2 - y_1| = |-10 - 3| = |-(10 + 3)| = |-13| = 13

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