Question

AABD is an equilateral triangle. AB is units long.

a) AB²

b) 2×AB
c) √3×AB
d) 3×AB

Answer 1

In an equilateral triangle, all sides are equal in length. The given options represent different properties related to the length of the sides of the triangle.

Step-by-step explanation:

In an equilateral triangle, all sides are equal in length. So, if AB is the length of the side, then all three sides are also AB units long.

a) AB²: Since all three sides of the equilateral triangle are AB units long, AB² represents the square of the length of one of the sides.

b) 2×AB: Again, since all three sides are AB units long, 2×AB represents twice the length of one side.

c) √3×AB: The square root of 3 times AB represents the length of the diagonal connecting two opposite corners of the equilateral triangle.

d) 3×AB: Finally, 3×AB represents three times the length of one side of the equilateral triangle.