Rhombus and inscribed circle

It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.

Correct result:

u =  11.2101 cm
v =  4.2819 cm

Solution:


Our quadratic equation calculator calculates it.

(v/2)2=a22+r2 v=2⋅ a22+r2=2⋅ 0.76392+22≐4.2819=4.2819 cm  r2=a1⋅ a2=5.2361⋅ 0.7639=2 r2=r

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The diagonal of a rhombus measure 16cm and 30cm find its perimeter

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