Question

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

Answer 1

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