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In paralelleogram ABCD, diagnosis AC and BD intersect at point E, BE=X2-40 and DE= 6x. What is BD? ​

In paralelleogram ABCD, diagnosis AC and BD intersect at point E, BE=X2-40 and DE-example-1
User JonathonW
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1 Answer

2 votes

Answer:

Length of BD =
x^2 +6x - 40

Explanation:

In parallelogram ABCD , diagonals AC and BD intersect at E .

In a parallelogram , the two opposite sides are parallel and equal in length.

Also opposite angles of a paralleogram are equal .

Here the length of the parts of a diagonal is given.

BE =
x^(2) - 40

DE = 6x

Since the length of whole diagonal is the sum of the lengths of the parts of the diagonal ,

Length of BD = BE + DE

=
x^(2) -40 + 6x

Length of BD =
x^2 +6x - 40

User Nazar Merza
by
7.8k points

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