In parallelogram ABCD , diagonals AC and BD intersect at point E, BE=x^2−40 , and DE=6x .What is BD ? The answer was 120
2 answers:
Answer:
120
Step-by-step explanation:
Given that ABCD is a parallelogram.
We know that in a parallelogram diagonals bisect each other.
Since AC and BD intersect at E, we get E is the mid point of both AC and BD.
Or BE = ED
Substitute the given values for BE and ED
i.e. x =10 or x =-4
But x cannot be negative . So x can take only value 10
BE = DE =6x = 6(10) = 60
Diagonal BD = BE+DE = 60+60 = 120
Answer is 120
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Step-by-step explanation:
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