+0  
 
+1
38
3
avatar+37 

Part A: What is the length of diagonal AM?

Part B: What is the length of diagonal FR?

Please explain answers

 

http://prntscr.com/mtbjea

 Mar 5, 2019
 #1
avatar+98130 
0

Don't think we can solve this one without some other info, Josey......

 

cool coolcool

 Mar 5, 2019
 #2
avatar+37 
0

This is rhombus FARM with a side length of 7 yards. The measure of ∠AFM is 60°

JoseyP  Mar 5, 2019
 #3
avatar+98130 
+2

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

 

 

cool  cool  cool

 Mar 5, 2019

18 Online Users

avatar
avatar