A rhombus with 20 cm sides has a 12 cm diagonal. How long is the other diagonal?

The answer is 4sqrt11 cm.

1 Answer
Jim G.
Apr 29, 2018

4sqrt91

Explanation:

"using the "color(blue)"rhombus property"

• " diagonals are perpendicular bisectors of each other"

"then the rhombus is divided into 4 right triangles"

"consider the right triangle with legs 6 and x and "
"hypotenuse 20"

"using "color(blue)"Pythagoras' theorem"

20^2=6^2+x^2

rArrx=sqrt(20^2-6^2)=sqrt364=2sqrt91

rArr"diagonal "=2x=2xx2sqrt91=4sqrt91

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