In an equilateral triangle:

Question

In an equilateral triangle:

1. A. all sides are equal
2. B. all angles are equal
3. C. both a & b are correct (Correct answer)
4. D. both a & b are incorrect

Correct Answer

Option C — both a & b are correct

Detailed Solution & Explanation

The correct answer is both a & b are correct.

Key Points

• In an equilateral triangle all three sides are equal, and consequently all three angles are equal, each measuring 60°.
• The two properties are inseparable: equal sides force equal angles, and equal angles force equal sides.
• Since both statements hold, the combined option is correct.

Additional Information

• Triangles classified by sides: equilateral (all three equal), isosceles (two equal), scalene (none equal).
• By angles: acute, right and obtuse.
• For an equilateral triangle of side *a*: area = (√3/4)a², height = (√3/2)a, and the centroid, incentre, circumcentre and orthocentre all coincide at the same point.