Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find the length of AC.
1 answer:
Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that: 
.
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.
AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16
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