In rhombus WXYZ, |WX| = 21' and... Find other three sides...

Cinnamon

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In rhombus WXYZ, the measure of WX is 21 feet, and the measurement of W is 62. Determine the measure of the other 3 sides and the other 3 angles of the rhombus.

PLEASE HELP :oops:
 
Is there a typo here? The "measure of W"? Is that "the measure of side WZ" or "the measure of diagonal WY" is so many feet, or "the measure of the angle at vertex W" is so many degrees or radians?

Please reply with clarification. When you reply, please show what you have tried thus far. (For instance, they've given you various relationships for the opposite and adjacent sides of a rhombus. What did this give you? And so forth.)

Thank you.

Eliz.
 
Re: In rhombus WXYZ, |WX| = 21' and... Find other three side

Cinnamon said:
In rhombus WXYZ, the measure of WX is 21 feet, and the measurement of W is 62. Determine the measure of the other 3 sides and the other 3 angles of the rhombus/

PLEASE HELP :oops:

W what is 62 feet? If it is the long diagomal, then the figure could not be a rhombus.

You did not give one of the angles.

If you intended the short diagonal to be 21 feet, and the long diagonal 62 feet,
then the side of the rhombus is 25.719 as the two diagonals divide the rhpmbus into 4 equal right triangles.

The acute angle is 2arctan(10.5/31)

The obtuse angle is 180º minus the acute angle/
 
Re: In rhombus WXYZ, |WX| = 21' and... Find other three side

Cinnamon said:
In rhombus WXYZ, the measure of WX is 21 feet, and the measurement of W is 62. Determine the measure of the other 3 sides and the other 3 angles of the rhombus.

PLEASE HELP :oops:

I'm going to GUESS that Cinnamon means "the measure of angle W is 62 degrees.

Cinnamon.....here are some facts about rhombuses which you can use:

All the sides of a rhombus are the same length....if you know one, you know them all.

The opposite angles of a rhombus are equal in measure.

Any pair of consecutive angles of a rhombus is supplementary.

Ok...now, have at it.
 
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