205k views
2 votes
"in rhombus FMKW

MW=12
FK=16
m angle MFK=36.9
find the lengths of all the sides"

"in rhombus FMKW MW=12 FK=16 m angle MFK=36.9 find the lengths of all the sides-example-1
User Entesar
by
7.0k points

1 Answer

4 votes
In order to solve for the lengths of all sides, what we are going to use is the Pythagorean Theorem. Based on the given figure above, let us plug in all the values in this formula: c^2 = a^2 + b^2
So c2 = (6)^2 + (8)^2
c2 = 36 + 64
c2 = 100 < then square both sides and we get
c = 10.
By definition, a rhombus has four equal sides. The measure of c is side MK. Therefore, all the other sides also measure 10. And the total lengths would be 40. Hope this answer helps.

User Hoangthienan
by
6.9k points