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Question
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.
Options
True
False
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Solution
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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