SOLUTION: Given isosceles trapezoid ABCD, find the following. AC (in cm), if BD = 15.2 cm AC = ?cm x, if AC = 3(x + 7)and BD = 8(x − 6) x =

Algebra ->  Formulas -> SOLUTION: Given isosceles trapezoid ABCD, find the following. AC (in cm), if BD = 15.2 cm AC = ?cm x, if AC = 3(x + 7)and BD = 8(x − 6) x =      Log On


   

Question 1193341: Given isosceles trapezoid ABCD, find the following.
AC (in cm), if BD = 15.2 cm
AC = ?cm
x, if AC = 3(x + 7)and BD = 8(x − 6)
x =
Answer by MathLover1(20850) About Me  (Show Source):
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AC and BD are the diagonals; the diagonals of an isosceles trapezoid are congruent.
AC+=+BD+
if BD=15.2, then AC=15.2

and, if AC=3%28x+%2B+7%29 and BD=8%28x-6%29, then
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