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प्रश्न
In the following 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 triangle ACD.

विकल्प
True
False
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उत्तर
This statement is True.
Explanation:

Area of a triangle ABC = `1/2 xx BC xx AC`
Area of a triangle ACD = `1/2 xx CD xx AC`
Now, their ratio = `(1/2 xx BC xx AC)/(1/2 xx CD xx AC)`
= `(BC)/(CD)` or BC : CD
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