Answer:
THE FOLLOWING MEASURES ARE TRUE FOR THE QUILT:
1. a = 60°
3. The perimeter of the rhombus is 16 inches.
5. The length of the longer diagonal is approximately 7 inches.
Step-by-step explanation:
I have attached the picture describing the rhombus.
One by one we will check all the options:
As we can see that:
a+30°=90°
a = 90-30
1) a= 60° which is true
<u>Taking the triangle with the perpendicular x, and using pythagoras theorem, we get:</u>
=16-4 = 12
x= =3.46 ≠3
So option 2, is not true.
<em><u>Perimeter of rhombus= 4 x 4 = 16 inches</u></em>
So option 3 is correct
<em><u></u></em>
<em><u>Smaller Interior angles of rhombus = 30+30= 60°</u></em>
<em><u>Measure of greater interior angle of rhombus = a+a=60+60 = 120°</u></em>
So Option 4 is incorrect
<em>The length of the longer diagonal is the horizontal diagonal which is:</em>
x+x= 2x
2x= 2(3.46)=6.92 ≈ 7
So Option 5 is correct