Let's do this question, find the area of a rhombus, choose one side measures five centimetre and one
diagonal as eight centimeter.
All right, pause the video, give it a try and then let's do it together.
All right.
We're back.
Now, it's given that the site is five centimetre and one diagonal is eight centimeters.
Now, let HCB eight centimeter in that case.
Over here is the meeting point of the two diagonals.
Therefore, eight is equal to X equals four centimeter because the diagonals bisect each other at right
angles in the case of a rhombus.
Right.
All right.
Now, over here, let me mark the measures that we know.
We know that is equal to four and abs equal to five centimetre right now.
And this angle is the right angle triangle, therefore in right triangle AEB.
Five Square is equal to four square plus Ebbie Square.
Right, but twenty five minus 16 gives you nine.
Therefore Ebb's equal to square root of nine.
That's three.
All right.
So you have this over here as three.
Now you can find the area of Triangle AEB as half in the four to three.
That's six centimeters square.
Right.
Now, what would be the area of this rhombus?
That would be four in to six, right?
That's twenty four centimeter square.
Remember, this area is equal to this area.
It's equal to this area.
And that includes this area.
Why?
Because each of these are right angled triangles with sides three and four centimeter at 90 degree with
each other.