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  1. In ∆ABC, BD and CE are perpendicular to AC and AB respectively. If BD = CE, then ∆ ABC is
    1. Equilateral
    2. Isosceles
    3. Right–angled
    4. Scalene
Correct Option: B

As per the given in question , we draw a figure of a triangle ABC in which BD and CE are perpendicular to AC and AB respectively ,

Area of ∆ ABC =
1
× AB × CE
2

Area of ∆ ABC =
1
× AC × BD
2

⇒ AB = AC [∵BD = CE]
∴ ∆ ABC is an isosceles triangle.



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