Question

exit ticket

1. the diagram shows equilateral triangle rst with altitude sv.

it is given that rv = 6 meters. what is the length of st?
a. 6 meters
b. $6\sqrt{2}$ meters
c. $6\sqrt{3}$ meters
d. 12 meters

Explanation:

Step1: Recognize triangle properties

In an equilateral triangle, the altitude bisects the base. So $RV = VT = 6$ m, and $RT = RV + VT = 6 + 6 = 12$ m.

Step2: Equilateral triangle side equality

All sides of an equilateral triangle are equal, so $ST = RT$.

Answer:

D. 12 meters