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Mathematics

Statement I: An equilateral triangle is an isosceles triangle as well.

Statement II: In an equilateral triangle, all the sides are equal, but in an isosceles triangle at least two sides are equal.

  1. Statement I is true but statement II is false.

  2. Statement I is false but statement II is true.

  3. Both Statement I and statement II are true.

  4. Both Statement I and statement II are false.

Triangles

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Answer

Statement I:

An equilateral triangle has all three sides equal, which means it also has at least two sides equal. So every equilateral triangle is also an isosceles triangle.

∴ Statement I is true.

Statement II:

In an equilateral triangle, all three sides are equal. In an isosceles triangle, at least two sides are equal.

∴ Statement II is true.

Both statements are true and Statement II is the correct explanation of Statement I.

Hence, option 3 is the correct option.

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