Question

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

Answer 1

Answer:

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

Step-by-step 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