Question

ABC is an equilateral triangle. Points D, E, F are taken in sides AB, BC, CA respectively, so that AD=CF. Then AE, BF, CD enclosed a triangle which is :

• A. equilateral triangle
• B. isosceles triangle
• C. right angle triangle
• D. None of these

Answer 1

The correct option is A equilateral triangle

From given, we have,

$△ABC$ is a bigger triangle

$△DEF$ is a smaller triangle but inverted.

now, we have,

$AD=BE=CF$

$DB=AF=FC$ because,

$AB=BC=CA$

So, triangle is equilateral triangle.