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ABC is an isosceles right angled triangle with ∠B = 90°. On the sides AC and AB, two equilateral triangles ACD and ABE have been constructed. The ratio of area of ∆ABE and ∆ACD is
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- 1 : 3
- 2 : 3
- 1 : 2
- 1 : √2
- 1 : 3
Correct Option: C
Using Rule 6,
AB = x units
BC = x units
AC = 2 x units [Using Pythagorus]
| ∴ | |
| ∆ACD |
| = | x² | |
| 4 | ||
| (√3x)² | ||
| 4 | ||
| = | = 1 : 2 | |
| 2 |
