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Let's do this question, find the area of a rhombus, choose one side measures five centimetre and one

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diagonal as eight centimeter.

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All right, pause the video, 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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Now, it's given that the site is five centimetre and one diagonal is eight centimeters.

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Now, let HCB eight centimeter in that case.

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Over here is the meeting point of the two diagonals.

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Therefore, eight is equal to X equals four centimeter because the diagonals bisect each other at right

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angles in the case of a rhombus.

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Right.

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All right.

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Now, over here, let me mark the measures that we know.

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We know that is equal to four and abs equal to five centimetre right now.

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And this angle is the right angle triangle, therefore in right triangle AEB.

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Five Square is equal to four square plus Ebbie Square.

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Right, but twenty five minus 16 gives you nine.

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Therefore Ebb's equal to square root of nine.

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That's three.

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All right.

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So you have this over here as three.

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Now you can find the area of Triangle AEB as half in the four to three.

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That's six centimeters square.

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Right.

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Now, what would be the area of this rhombus?

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That would be four in to six, right?

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That's twenty four centimeter square.

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Remember, this area is equal to this area.

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It's equal to this area.

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And that includes this area.

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Why?

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Because each of these are right angled triangles with sides three and four centimeter at 90 degree with

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each other.