Rhombus

(the database of solved problems)

All the problems and solutions shown below were generated using the Rhombus Calculator.

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ID	Problem	Count
101	Find the side $ a $ of a rhombus if area $A = 192$ and angle $\alpha = \frac{ 3369 }{ 50 }^o$.	7
102	Find the side $ a $ of a rhombus if side $a = 7$, diagonal $d_2 = 12$ and angle $\alpha = 70^o$.	7
103	Find the area $ A $ of a rhombus if side $a = 2290$, height $h = 1500$, incircle radius $r = 750$ and angle $\alpha = 66^o$.	7
104	Find the diagonal $ d_2 $ of a rhombus if area $A = 7 \sqrt{ 2 }$ and angle $\beta = 45^o$.	7
105	Find the diagonal $ d_2 $ of a rhombus if side $a = 15$, perimeter $P = 60$ and diagonal $d_1 = 12$.	7
106	Find the side $ a $ of a rhombus if diagonal $d_1 = 2 \sqrt{ 3 }\, \text{mm}$ and diagonal $d_2 = 2\, \text{mm}$.	7
107	Find the height $ h $ of a rhombus if diagonal $d_1 = 24\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$.	7
108	Find the side $ a $ of a rhombus if diagonal $d_1 = 8$ and diagonal $d_2 = 6$.	7
109	Find the side $ a $ of a rhombus if side $a = 2.5\, \text{m}$ and perimeter $P = 30\, \text{cm}$.	7
110	Find the side $ a $ of a rhombus if side $a = 13\, \text{mm}$ and diagonal $d_1 = 12\, \text{mm}$.	7
111	Find the side $ a $ of a rhombus if side $a = 12\, \text{mi}$ and diagonal $d_1 = 18\, \text{cm}$.	6
112	Find the angle $ \alpha $ of a rhombus if side $a = 2\, \text{mm}$, area $A = 2 \sqrt{ 3 }\, \text{mm}^2$, perimeter $P = 8\, \text{mm}$, diagonal $d_1 = 2 \sqrt{ 3 }\, \text{mm}$ and diagonal $d_2 = 2\, \text{mm}$.	6
113	Find the side $ a $ of a rhombus if diagonal $d_1 = 2$ and diagonal $d_2 = 2$.	6
114	Find the side $ a $ of a rhombus if side $a = 20$.	6
115	Find the side $ a $ of a rhombus if side $a = 12\, \text{mm}$ and angle $\alpha = 30^o$.	6
116	Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 22$ and angle $\alpha = 22^o$.	6
117	Find the diagonal $ d_1 $ of a rhombus if side $a = 89\, \text{mm}$ and angle $\alpha = 165^o$.	6
118	Find the side $ a $ of a rhombus if side $a = 3\, \text{mm}$ and area $A = 3\, \text{cm}$.	6
119	Find the diagonal $ d_1 $ of a rhombus if side $a = \frac{ 5 }{ 2 }$ and perimeter $P = 30$.	6
120	Find the side $ a $ of a rhombus if side $a = 10\, \text{mm}$ and angle $\alpha = 60^o$.	6
121	Find the area $ A $ of a rhombus if perimeter $P = 64$ and diagonal $d_2 = 8 \sqrt{ 5 }$.	6
122	Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 54.11\, \text{mm}$ and diagonal $d_2 = 47.35\, \text{mm}$.	6
123	Find the side $ a $ of a rhombus if diagonal $d_1 = 10\, \text{mm}$, angle $\alpha = 120^o$ and angle $\beta = 90^o$.	6
124	Find the area $ A $ of a rhombus if diagonal $d_1 = 5$ and diagonal $d_2 = 4$.	6
125	Find the side $ a $ of a rhombus if side $a = 23\, \text{km}$ and diagonal $d_1 = 40\, \text{cm}$.	6
126	Find the area $ A $ of a rhombus if side $a = 13\, \text{mm}$ and diagonal $d_1 = 12\, \text{mm}$.	6
127	Find the side $ a $ of a rhombus if side $a = 12\, \text{m}$ and angle $\beta = 30^o$.	6
128	Find the diagonal $ d_2 $ of a rhombus if side $a = 23$ and diagonal $d_1 = 40$.	6
129	Find the area $ A $ of a rhombus if area $A = 7 \sqrt{ 2 }$ and angle $\beta = 5^o$.	6
130	Find the side $ a $ of a rhombus if side $a = 20$, diagonal $d_1 = 32$ and diagonal $d_2 = 24$.	6
131	Find the side $ a $ of a rhombus if diagonal $d_1 = 6\, \text{mm}$ and diagonal $d_2 = 8\, \text{mm}$.	6
132	Find the area $ A $ of a rhombus if side $a = 17\, \text{mm}$ and diagonal $d_1 = 30\, \text{mm}$.	6
133	Find the side $ a $ of a rhombus if area $A = 5500\, \text{mm}^2$, diagonal $d_1 = 110\, \text{mm}$ and diagonal $d_2 = 100\, \text{mm}$.	6
134	Find the side $ a $ of a rhombus if area $A = 48$ and perimeter $P = 60$.	6
135	Find the incircle radius $ r $ of a rhombus if side $a = 2.6\, \text{mm}$ and diagonal $d_1 = 4\, \text{mm}$.	6
136	Find the height $ h $ of a rhombus if side $a = 25\, \text{mm}$ and angle $\alpha = 60^o$.	6
137	Find the side $ a $ of a rhombus if diagonal $d_1 = 22\, \text{cm}$ and angle $\alpha = 22^o$.	6
138	Find the side $ a $ of a rhombus if diagonal $d_1 = 5\, \text{cm}$ and diagonal $d_2 = 4\, \text{cm}$.	6
139	Find the side $ a $ of a rhombus if side $a = 5\, \text{mm}$.	6
140	Find the area $ A $ of a rhombus if side $a = 10\, \text{mm}$ and angle $\alpha = 45^o$.	6
141	Find the height $ h $ of a rhombus if side $a = 15\, \text{mm}$ and area $A = 216\, \text{mm}^2$.	6
142	Find the side $ a $ of a rhombus if diagonal $d_1 = 12$ and diagonal $d_2 = 9$.	6
143	Find the angle $ \alpha $ of a rhombus if side $a = 37.5\, \text{mm}$, diagonal $d_1 = 70\, \text{cm}$ and diagonal $d_2 = 30\, \text{cm}$.	6
144	Find the side $ a $ of a rhombus if diagonal $d_1 = 24\, \text{mm}$ and diagonal $d_2 = 20\, \text{mm}$.	6
145	Find the side $ a $ of a rhombus if side $a = 2.5\, \text{m}$ and angle $\alpha = 70^o$.	5
146	Find the side $ a $ of a rhombus if diagonal $d_1 = 7\, \text{cm}$.	5
147	Find the incircle radius $ r $ of a rhombus if side $a = 8\, \text{mm}$ and angle $\alpha = 45^o$.	5
148	Find the side $ a $ of a rhombus if diagonal $d_1 = 18\, \text{mm}$ and diagonal $d_2 = 24\, \text{mm}$.	5
149	Find the side $ a $ of a rhombus if side $a = 36$.	5
150	Find the side $ a $ of a rhombus if side $a = 2\, \text{cm}$.	5