SOLUTION: Given isosceles trapezoid ABCD, find x, if AC = 3(x + 7)and BD = 8(x − 6)

Algebra ->  Formulas -> SOLUTION: Given isosceles trapezoid ABCD, find x, if AC = 3(x + 7)and BD = 8(x − 6)      Log On


   



Question 1193349: Given isosceles trapezoid ABCD, find x, if
AC = 3(x + 7)and BD = 8(x − 6)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


AC and BD are the diagonals; the diagonals of an isosceles trapezoid are congruent.
AC+=+BD+
3%28x+%2B+7%29+=+8%28x-6%29
3x+%2B+21+=+8x+-48
48+%2B+21+=+8x+-3x
69+=+5x
x=69%2F5
x=13.8