If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is
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Question

If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is

Accepted Answer

37 + 13 \sqrt{37}+\sqrt{13} 37 ​ + 13 ​. All the sides of the rhombus are equal. The area of a rhombus is 12 c m 2 12\ cm^2 12 c m 2 Considering d1 to be the length of the longer diagonal, d2 to be the length of the shorter diagonal. The area of a rhombus is ( 1 2 ) ( d 1 ) ⋅ ( d 2 ) = 12 \left(\frac{1}{2}\right)\left(d1\right)\cdot\left(d