ABC and BDE are two equilateral triangle such that BD = 2 / 3 BC find the ratio of areas of triangles ABC and BDE
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The ratio of areas of triangles ABC and BDE is 9:4.
Given:
ABC and BDE are two equilateral triangles such that BD=2/ 3BC.
To Find:
The ratio of areas of triangles ABC and BDE.
Solution:
ABC is an equilateral triangle.
⇒ AB = BC =AC
Also, BDE is an equilateral triangle.
⇒ BD = DE = BE
Area of an equilateral triangle =
Area of triangle ABC =
Area of triangle BDE =
The ratio of triangles ABC and BDE
∴The ratio of areas of triangles ABC and BDE is 9:4.
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