Friday

December 19, 2014

December 19, 2014

Posted by **Chris** on Friday, March 5, 2010 at 3:44pm.

- Math -
**Reiny**, Friday, March 5, 2010 at 5:18pmIn a rhombus, the diagonals right-bisect each other.

I recognize the 30-60-90 triangle in the diagram.

then

x/2 = 3.5/1

x = 7

(sure enough, triangle DEF is equilateral)

- Math -
**Chris**, Friday, March 5, 2010 at 5:41pmSo one side of the rhombus is equal to seven? I'm still confused as to how you got your answer...

- Math -
**Reiny**, Friday, March 5, 2010 at 6:37pmOk, I will use a different approach this time.

Hope you make a sketch.

Since one angle is 60º, then its opposite angle is also 60º, properties of a parallelogram.

Which means the other angle pair is 120º each, (angle D = angle F = 120)

Now look at your diagram, don't you see two equilateral triangles,

triange DEF and also triangle DGF.

So all sides in those two triangles must be equal,

since DF = 7 , the sides of the rhomubus are 7 each.

- Math -
**Chris**, Saturday, March 6, 2010 at 1:33amI see it now,because a diagonal divides a parallelogram into two congruent triangles! Thank you!!

**Answer this Question**

**Related Questions**

Geometry - The length of each side of a rhombus is 16. The longer diagonal has ...

geometry - The length of the smaller of the two diagonals of a rhombus is 12 and...

Math - The larger angles of a rhombus are twice the smaller angle of the rhombus...

Math - the larger angles of a rhombus are twice the smaller angle of the rhombus...

geometry - The longer diagonal of a rhombus is 2 times as long as the shorter ...

math - Each side of a rhombus is 5 inches long and the shorter diagonal is 4 ...

math - Your question: "The shorter diagonal of a rhombus is 50 mm long. Each of ...

geometry - the perimeter of a rhombus is 36 inches. if the longer diagonal is 14...

geometry - A rhombus has a diagonal with a length of 17 ft. and a side ...

cmsd - Your question: "The shorter diagonal of a rhombus is 50 mm long. Each of ...