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प्रश्न
ΔABC and ΔBDE are two equilateral triangle such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is ______.
रिक्त स्थान भरें
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उत्तर
ΔABC and ΔBDE are two equilateral triangle such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is 4 : 1.
Explanation:
`(ar(ΔABC))/(ar(ΔBDE)) = (sqrt(3)/4 (BC)^2)/(sqrt(3)/4 (BD)^2)`
= `(BC)^2/(((BC))/2)^2`
= `(4BC^2)/(BC^2)`
= `4/1`
= 4 : 1
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