SOLUTION: the sides of a rhombus are 5 cm each and one diagonal is 8 cm. calculate the length of the other diagonal and the area of the rhombus.

Question 941901: the sides of a rhombus are 5 cm each and one diagonal is 8 cm. calculate the length of the other diagonal and the area of the rhombus.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The two diagonals divide the rhombus into 4 congruent right triangles:

The Pythagorean theorem, applied to the triangle with the measures shown, states that
.
You can solve for {{x}}} to find that .
That is half of the other diagonal, so the other diagonal measures
.

The area of the rhombus is half the area of the large rectangle around it,

.
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