In the given figure DE BC, the value of x is: Option 1: 12 Option 2: 11 Option 3: 10 Option 4: 9

Answer: 11. Solution: By Thales' theorem, AD/DB = AE/EC. (x-2)/3 = 15/5 = 3. x - 2 = 9, so x = 11.

Geometry

Triangles

Easy

In the given figure DE || BC, the value of x is:

✅ Correct Option: 2

By Thales' theorem, $AD/DB = AE/EC$ .

$(x-2)/3 = 15/5 = 3$ .

$x - 2 = 9$ , so $x = 11$ .

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In the given figure DE || BC, the value of x is:

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