Answer:
HG and HI are 11(√3)/3 and 22(√3)/3 respectively
Explanation:
Since triangle HGI is a 30-60-90 triangle, we can easily find HG and HI. HG is 11/(√3) because the longer leg of a 30-60-90 triangle is (√3) times the shorter base. 11/(√3) can be simplified into 11(√3)/3. Since HG is 11/(√3), HI is is 22/(√3) because the hypotenuse is 2 times the shorter leg. 22/(√3) can be simplified into 22(√3)/3. So HG and HI are 11(√3)/3 and 22(√3)/3 respectively.