Posted by **Aria** on Tuesday, March 29, 2011 at 10:30pm.

what is the area of a rhombus with a 60 degree angle and sides 5 cm long? (round to the nearest 10th)

- geometry -
**Jai**, Tuesday, March 29, 2011 at 10:59pm
recall that the area of rhombus is just

A = b*h

where b = base and h = height

we already have the base, which is 5 cm. we need to find for the height,, to get this, observe that if we draw the rhombus and draw a broken line representing the height, we see that a right triangle is form, particularly, a 30-60-90 triangle

to get height,

5 * sin 60 = 4.33 cm

**note that we use sin 60 here because 80 degrees is the opposite angle of the height

substituting:

A = b*h

A = 5*(4.33)

A = 21.65 sq cm

hope this helps~ :)

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