Question

in rhombus ABCD the diagonals AC&BD intersect at E.if AE=x,BE=x+7&AB=x+8.find the lengths of the diagonals AC&BD​

Answer 1

QUESTION : in rhombus ABCD the diagonals AC&BD intersect at E.if AE=x,BE=x+7&AB=x+8.find the lengths of the diagonals AC&BD.

☑️☑️BRAINLY SOLUTION ☑️☑️

Answer:

Step-by-step explanation:

We know that the diagonals of rhombus intersect at right angles and bisect each other.

In right triangle AOB,

{AB}^2={OA}^2+{OB}^2

{10}^2={6}^2+{OB}^2

100-36={OB}^2

{OB}^2=100-36=64

OB=8\:cm

Now\:BD=OB+OD=8+8=16cm.

SEE ATTACHMENT

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