Question

Statement 1: In an equilateral triangle, the heights onto all the sides are equal.
Statement 2: The base lengths are also equal in an equilateral triangle.

• A. True
• B. False
• C. Both the statements are correct
• D. Both the statements are incorrect

Answer 1

The correct option is C

Both the statements are correct

$\text{Area of a triangle}$ = $\frac{1}{2}\times \text{base}\times \text{height}$,
All the base lengths (sides) are equal in an equilateral triangle.
Since the area is also same, the heights should be the same.