SOLUTION: This is for my elementary functions class and I am beyond confused. I just can't understand these. 53. Determining a Line Segment with Given Midpoint Let (4, 4) be the midpoint o

Question 1048893: This is for my elementary functions class and I am beyond confused. I just can't understand these.
53. Determining a Line Segment with Given Midpoint Let (4, 4) be the midpoint of the line segment determined by the points (1, 2) and (a, b). Determine a and b.

54. Writing to Learn Isosceles but Not Equilateral Triangle Prove that the triangle determined by the points (3, 0), (1, 2), and (5, 4) is isosceles but not equilateral.

Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
53. Determining a Line Segment with Given Midpoint Let (4, 4) be the midpoint of the line segment determined by the points (1, 2) and (a, b). Determine a and b.

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The unknown point is (7,6).

54. Writing to Learn Isosceles but Not Equilateral Triangle Prove that the triangle determined by the points (3, 0), (1, 2), and (5, 4) is isosceles but not equilateral.

The three lengths of this triangle are

Exactly two of the sides are of equal length, and the other side is different length. You need to have exactly two equal side lengths so this fits being isosceles triangle.
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