Step 1: Definition of Equilateral Triangle
An equilateral triangle is a triangle in which all three sides are equal in length.
By the properties of triangles, if all sides are equal, then all angles are also equal.
Step 2: Use angle property
Each interior angle of an equilateral triangle is:
\[
\frac{180^\circ}{3} = 60^\circ
\]
So, not only are the three sides equal, but the three interior angles are also equal — each measuring \( 60^\circ \).
Step 3: Eliminate wrong options
- (B): "Walls" is irrelevant and vague in geometric context.
- (C): This describes an isosceles triangle, not equilateral.
- (D): Incorrect — there is a valid correct definition.
\[
\boxed{\text{Correct Answer: (A) Whose three interior angles are equal}}
\]



| Measure of Triangle | Types of Triangle | ||
|---|---|---|---|
| (i) | 3 sides of equal length | (a) | Scalene |
| (ii) | 2 sides of equal length | (b) | Isosceles right angle |
| (iii) | All sides are of different length | (c) | Obtuse angle |
| (iv) | 3 acute angles | (d) | Right angle |
| (v) | 1 right angle | (e) | Equilateral |
| (vi) | 1 obtuse angle | (f) | Acute angle |
| (vii) | 1 right angle with two sides of equal length | (g) | Isosceles |
$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.