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Let's do this question, are I see is a robust find, X, Y, Z, and find the perimeter of the rhombus.

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All right.

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Was the video.

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Give it a try and then let's do it together.

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All right.

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We're back.

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I hope you've given it a try.

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Now, over here, you can see that angle EOC will be equal to 90 degree, right?

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Because in a rhombus, the diagonals bisect each other at ninety degrees.

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All right.

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Now you can see that X Square is equal to five squared plus 12 square.

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Right, because triangle E, C or is the right angle triangle and X is the hypotenuse.

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So as Pythagoras theorem is square is equal to five squared plus twelve squared, that's twenty five

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plus one forty four which is equal to one sixty nine.

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Therefore X equals root of one sixty nine, that's thirteen.

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So we have found the side of the rhombus.

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Now Z over here also will be equal to thirteen because all the sides of rhombus are equal.

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And what would be the perimeter of the rhombus.

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That would be four times Z which is four in the thirteen or fifty two.

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All right.

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Now, so we have found now we need to find X and Y, OK?

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So we know that the diagonals of a rhombus bisect each other.

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Why is that so?

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Because a rhombus is a parallelogram.

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Right?

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And in a program, the diagonals bisect each other.

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All right.

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So I can say that five is equal to plus two and twelve is equal to Y plus X..

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Let's write that down.

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Five is equal to X plus two and twelve is equal to Y plus X from this five is equal to X plus two.

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We can find that X is equal to three and substitute that over here and you get Y is equal to nine to

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begin, X is equal to three, Y is equal to nine and Z is equal to thirteen.

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And that is your answer.