Posted by **Anonymous** on Thursday, January 6, 2011 at 11:24pm.

Find the area of the rhombus: In rhombus ABCD, AB=11 and AC=13. Find the area of the rhombus.

What should be done to find the values of the diagonals?

- Geometry -
**Henry**, Saturday, January 8, 2011 at 10:04pm
A = D1*D2/2 = 13 * 13 / 2 =84.5

All of the sides of a rhombus are equal. So the longest side is the diagonal.

- Geometry -
**Henry**, Saturday, January 8, 2011 at 11:08pm
CORRECTION!

The 2 diagonals are NOT equal. But they

are perpendicular bisectors of each other. They intersect at E.

(AE)^2 + (BE)^2 = (11)^2,

(6.5)^2 + (BE)^2 = 121,

42.25 + (BE)^2 = 121,

(BE)^2 = 121 - 42.25 = 78.75,

BE = sqrt(78.75) = 8.9.

BD = 2 * BE = 2 * 8.9 = 17.8.

A = D1 * D2 / 2 = 13 * 8.9 / 2 = 57.85

- Geometry -
**Henry**, Sunday, January 9, 2011 at 6:19am
OOPS!

A = D1 * D2 / 2 = 13 * 17.8 /2 = 115.7

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