SOLUTION: Using a ruler, a pencil, and a compass, construct triangle EFG with line segment EG equal to 6cm, the measure of angle FEG equal to 60 degrees, and the measure of angle EGF equal

Algebra ->  Triangles -> SOLUTION: Using a ruler, a pencil, and a compass, construct triangle EFG with line segment EG equal to 6cm, the measure of angle FEG equal to 60 degrees, and the measure of angle EGF equal      Log On


   

Question 826122: Using a ruler, a pencil, and a compass, construct triangle EFG with line segment EG equal to
6cm, the measure of angle FEG equal to 60 degrees, and the measure of angle EGF equal to
90 degrees.
Measure and state the length of line segment EF and the measure of angle EFG.
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

THE PROBLEM:
Using a ruler, a pencil, and a compass, construct triangle EFG with line segment EG equal to 
6cm, the measure of angle FEG equal to 60 degrees, and the measure of angle EGF equal to
90 degrees.

Measure and state the length of line segment EF and the measure of angle EFG.

A SOLUTION:

We do not have a way to show compass constructions on this site. Here is a link to pages with
video, draws, and instructions for constructing a 30-60-90 degree triangle.

This is what your triangle will be. If you begin with EG = 6cm, the angles with still be 
30-60-90 degrees as you follow the instructions. 

http://www.mathopenref.com/print306090.html


Hope this helps! Feel free to email if you have any questions about the solution.

Good luck with your math,

Mrs. F
math.in.the.vortex@gmail.com