Parallelogram ABCD has diagonal segments AC and BD that intersect at E. if BE is ( x + 8) and ED is (5 x), find the length of BD .
1 answer:
Answer:
BD = 20 units
Step-by-step explanation:
Given that,
Parallelogram ABCD has diagonal segments AC and BD that intersect at E.
BE = (x+8) and ED = 5x
We need to find the length of BD.
BD = BE + ED ...(1)
We know that the diagonals of a parallelogram bisects each other. It means,
BE = ED
x+8 = 5x
8 = 5x - x
8 = 4x
x = 2
BE = (x+8)
= (2+8)
= 10
ED = 5x
= 5(2)
= 10
Put the values in equation (1).
BD = 10 + 10
= 20 units
Hence, the length of BD is 20 units.
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