Rhombus
(the database of solved problems)
All the problems and solutions shown below were generated using the Rhombus Calculator.
| ID |
Problem |
Count |
| 501 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 15$ and diagonal $d_2 = \frac{ 66 }{ 5 }$. | 3 |
| 502 | Find the side $ a $ of a rhombus if angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 3 |
| 503 | Find the angle $ \alpha $ of a rhombus if side $a = \frac{ 33 }{ 8 }$ and diagonal $d_2 = \frac{ 127 }{ 16 }$. | 3 |
| 504 | Find the side $ a $ of a rhombus if height $h = 4$ and angle $\alpha = 90^o$. | 3 |
| 505 | Find the angle $ \beta $ of a rhombus if diagonal $d_2 = \frac{ 829 }{ 5 }$ and angle $\alpha = 50^o$. | 3 |
| 506 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 26$ and diagonal $d_2 = 11$. | 3 |
| 507 | Find the side $ a $ of a rhombus if side $a = 14$ and height $h = 7$. | 3 |
| 508 | Find the diagonal $ d_2 $ of a rhombus if side $a = 120$ and height $h = 90$. | 3 |
| 509 | Find the diagonal $ d_1 $ of a rhombus if area $A = 200$ and angle $\alpha = 110^o$. | 3 |
| 510 | Find the diagonal $ d_1 $ of a rhombus if side $a = 15\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 3 |
| 511 | Find the angle $ \beta $ of a rhombus if side $a = 1\, \text{mm}$ and angle $\alpha = 47^o$. | 3 |
| 512 | Find the side $ a $ of a rhombus if diagonal $d_1 = 8\, \text{mm}$ and diagonal $d_2 = 4\, \text{mm}$. | 3 |
| 513 | Find the height $ h $ of a rhombus if diagonal $d_1 = 24\, \text{mm}$ and diagonal $d_2 = 32\, \text{mm}$. | 3 |
| 514 | Find the side $ a $ of a rhombus if side $a = 1\, \text{mm}$ and diagonal $d_2 = 1\, \text{mm}$. | 3 |
| 515 | Find the side $ a $ of a rhombus if side $a = 25.125\, \text{in}$, diagonal $d_1 = 31.5\, \text{in}$, diagonal $d_2 = 5.1875\, \text{mm}$ and height $h = 3.5\, \text{in}$. | 3 |
| 516 | Find the side $ a $ of a rhombus if angle $\alpha = 45^o$. | 3 |
| 517 | Find the angle $ \alpha $ of a rhombus if side $a = 13\, \text{mm}$, diagonal $d_1 = 25\, \text{mm}$ and diagonal $d_2 = 10\, \text{mm}$. | 3 |
| 518 | Find the side $ a $ of a rhombus if side $a = 1\, \text{mm}$. | 3 |
| 519 | Find the side $ a $ of a rhombus if side $a = 100\, \text{in}$ and perimeter $P = 400\, \text{cm}$. | 3 |
| 520 | Find the diagonal $ d_1 $ of a rhombus if side $a = 21\, \text{in}$ and angle $\alpha = 36^o$. | 3 |
| 521 | Find the side $ a $ of a rhombus if angle $\beta = 50^o$. | 3 |
| 522 | Find the side $ a $ of a rhombus if side $a = 4\, \text{km}$. | 3 |
| 523 | Find the side $ a $ of a rhombus if diagonal $d_1 = 59.4\, \text{cm}$ and height $h = 42\, \text{cm}$. | 3 |
| 524 | Find the side $ a $ of a rhombus if area $A = 340\, \text{mm}^2$ and height $h = 17\, \text{mm}$. | 3 |
| 525 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{in}$ and diagonal $d_2 = 24\, \text{in}$. | 3 |
| 526 | Find the height $ h $ of a rhombus if side $a = \frac{ 1 }{ 2 }$, angle $\alpha = 30^o$ and angle $\beta = 120^o$. | 2 |
| 527 | Find the side $ a $ of a rhombus if angle $\alpha = 801^o$. | 2 |
| 528 | Find the angle $ \beta $ of a rhombus if angle $\alpha = 80^o$. | 2 |
| 529 | Find the side $ a $ of a rhombus if side $a = \frac{ 33 }{ 5 }$ and area $A = 9$. | 2 |
| 530 | Find the side $ a $ of a rhombus if side $a = 80$ and diagonal $d_1 = 120$. | 2 |
| 531 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = \frac{ 9961 }{ 100 }$ and diagonal $d_2 = \frac{ 499 }{ 5 }$. | 2 |
| 532 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = \frac{ 9961 }{ 100 }$ and diagonal $d_2 = \frac{ 399 }{ 4 }$. | 2 |
| 533 | Find the angle $ \beta $ of a rhombus if diagonal $d_1 = \frac{ 9961 }{ 100 }$ and diagonal $d_2 = \frac{ 399 }{ 4 }$. | 2 |
| 534 | Find the height $ h $ of a rhombus if side $a = 17$, diagonal $d_1 = 30$ and diagonal $d_2 = 16$. | 2 |
| 535 | Find the height $ h $ of a rhombus if side $a = 17$ and diagonal $d_1 = 30$. | 2 |
| 536 | Find the area $ A $ of a rhombus if side $a = 2 \sqrt{ 5 }$ and perimeter $P = 8 \sqrt{ 5 }$. | 2 |
| 537 | Find the area $ A $ of a rhombus if diagonal $d_1 = 4 \sqrt{ 3 }$ and diagonal $d_2 = 4 \sqrt{ 2 }$. | 2 |
| 538 | Find the perimeter $ P $ of a rhombus if diagonal $d_1 = 30$. | 2 |
| 539 | Find the height $ h $ of a rhombus if diagonal $d_1 = \frac{ 128 }{ 5 }$ and diagonal $d_2 = \frac{ 149 }{ 10 }$. | 2 |
| 540 | Find the side $ a $ of a rhombus if side $a = 14$ and diagonal $d_2 = 4$. | 2 |
| 541 | Find the angle $ \beta $ of a rhombus if angle $\alpha = 35^o$. | 2 |
| 542 | Find the side $ a $ of a rhombus if side $a = 10$, diagonal $d_1 = 20$, height $h = 10$ and angle $\alpha = 10^o$. | 2 |
| 543 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 22$ and diagonal $d_2 = 12$. | 2 |
| 544 | Find the side $ a $ of a rhombus if side $a = 10$ and area $A = 80$. | 2 |
| 545 | Find the diagonal $ d_1 $ of a rhombus if side $a = 10$ and area $A = 80$. | 2 |
| 546 | Find the diagonal $ d_1 $ of a rhombus if side $a = 12$ and angle $\alpha = 60^o$. | 2 |
| 547 | Find the diagonal $ d_2 $ of a rhombus if side $a = 12$ and diagonal $d_1 = 12 \sqrt{ 3 }$. | 2 |
| 548 | Find the diagonal $ d_2 $ of a rhombus if diagonal $d_1 = 12 \sqrt{ 3 }$ and angle $\alpha = 60^o$. | 2 |
| 549 | Find the height $ h $ of a rhombus if side $a = \frac{ 289 }{ 4 }$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 550 | Find the height $ h $ of a rhombus if side $a = \frac{ 289 }{ 4 }$, perimeter $P = \frac{ 313 }{ 2 }$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
