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In the given figure, ratio of the area of triangle ABC to the area of triangle ACD is the same as the ratio of base BC of triangle ABC to the base CD of ΔACD.

#### Options

True

False

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#### Solution

This statement is **True**.

**Explanation:**

∵ Area of ΔABC : Area of ΔACD = `1/2` × BC × AC : `1/2` × CD × AC ......[∵ Area of triangle = Base × Height]

= BC : CD

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