Find the area of triangle using median theorem — task. Mathematics CBSE, Class 9 New.

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In \(△ABC\), \(AD\) is the median to \(BC\). The area of \(△ABC\) is 56 \(cm^2\). Find:

The area of \(△ABD\) \(=\) \(cm^2\)

The area of \(△ACD\) \(=\) \(cm^2\)

If the area of \(△ABE\) is \(15\) \(cm^2\), where \(E\) is a point on \(AD\), find the area of \(△BDE\) \(=\) \(cm^2\)

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7. Find the area of triangle using median theorem