Question

A quilt piece is designed with four congruent triangles to form a rhombus so that one of the diagonals is equal to the side length of the rhombus.Which measures are true for the quilt piece? Select three options

Answer 1

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

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

Taking the triangle with the perpendicular x, and using pythagoras theorem, we get:

=16-4 = 12

x= =3.46 ≠3

So option 2, is not true.