175k views
1 vote
An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the nearest square meter. 2 square meters 7 square meters 20 square meters 78 square meters

2 Answers

7 votes
Ok so if the half of the perimeter is 6. 6×2=12...
There are three sides so 12/3 =4.......4m is the length of each side.
If we draw a line straight down the top of the triangle down to the middle of the base.....this line would be the height of the eq. triangle. This gives us a right triangle where a is unknown, b =2, and c=4
a^2+b^2=c^2
a^2+4=16
a=2×sqrt3
a is the height of the eq.

The area of the eq = 1/2× base × height

A=(1/2)×4×2sqrt3
A=6.93

So 7m^2 is the answer
User Tobias Langner
by
7.8k points
5 votes
I wanna say 7 is the neatest round
User Ryan Riehle
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories