Part A: What is the length of diagonal AM?
Part B: What is the length of diagonal FR?
Please explain answers
Don't think we can solve this one without some other info, Josey......
OK...we got something we can work with...
If AFM is 60°.....then angle RFM = 30°
And the top left triangle is a 30-60-90 right triangle
And the side opposite the 90° angle is the side of 7
And the side opposite the 30° angle is 1/2 the side length = 1/2*7 = 3.5
So... 1/2 of diagonal MA = 1/2(7) = 3.5
So....the whole length of AM is twice this = 7 units
And angle FMR is supplemental to angle AM = 120°
Then angle AMR is 1/2 of this = 60°
And the bottom left triangle is also 30-60-90
The side opposite the 60° angle = 3.5sqrt(3) units
And this is 1/2 the length of diagonal FR
So..its length = 2 *3.5sqrt(3) = 7sqrt (3) units