Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9551 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 15\, \text{mm}$ and height $h = 20.5\, \text{mm}$. | 1 |
| 9552 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 2\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 9553 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 12\, \text{in}$, height $h = 2\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 9554 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, height $h = 2\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 9555 | Find the side $ c $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 9556 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 9557 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 9558 | Find the angle $ \beta $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 9559 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9560 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 2\, \text{in}$, side $c = 12\, \text{mm}$ and diagonal $d = 12\, \text{mm}$. | 1 |
| 9561 | Find the long base $ a $ of a trapezoid if angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9562 | Find the long base $ a $ of a trapezoid if side $c = 20\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9563 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{ft}$, side $c = 20\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9564 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{ft}$, angle $\alpha = 75^o$ and angle $\beta = 123.4^o$. | 1 |
| 9565 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 22\, \text{mm}$ and height $h = 20.5\, \text{mm}$. | 1 |
| 9566 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 22\, \text{mm}$ and angle $\alpha = 18^o$. | 1 |
| 9567 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mm}$, short base $b = 15\, \text{mm}$ and side $c = 14\, \text{mm}$. | 1 |
| 9568 | Find the area $ A $ of a trapezoid if side $c = 6 \sqrt{ 6 }\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 9569 | Find the area $ A $ of a trapezoid if side $c = 6 \sqrt{ 6 }\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 120^o$. | 1 |
| 9570 | Find the area $ A $ of a trapezoid if short base $b = 10\, \text{mm}$, side $c = 6 \sqrt{ 6 }\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 120^o$. | 1 |
| 9571 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 8\, \text{cm}$, side $c = 4 \sqrt{ 3 }\, \text{cm}$ and angle $\alpha = 60^o$. | 1 |
| 9572 | Find the angle $ \beta $ of a trapezoid if long base $a = 64.62\, \text{mm}$, short base $b = 54.23\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 9573 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{ft}$, short base $b = 210\, \text{mm}$ and height $h = 60\, \text{mm}$. | 1 |
| 9574 | Find the height $ h $ of a trapezoid if long base $a = 25.5\, \text{ft}$, short base $b = 6\, \text{ft}$ and height $h = 5.5\, \text{ft}$. | 1 |
| 9575 | Find the area $ A $ of a trapezoid if long base $a = 0.205\, \text{in}$, short base $b = 0.135\, \text{in}$ and height $h = 0.514\, \text{in}$. | 1 |
| 9576 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{yd}$, short base $b = 7\, \text{yd}$, median $m = 5\, \text{mm}$ and angle $\alpha = 4^o$. | 1 |
| 9577 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, side $c = 20\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 9578 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 9579 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 9580 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 20\, \text{mm}$. | 1 |
| 9581 | Find the side $ c $ of a trapezoid if height $h = 19.05\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9582 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 9583 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 20\, \text{mm}$ and angle $\beta = 60^o$. | 1 |
| 9584 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9585 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 9586 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = \frac{ 3 }{ 4 }\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9587 | Find the angle $ \beta $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 9588 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 9589 | Find the long base $ a $ of a trapezoid if height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9590 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 9591 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 9592 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\beta = 60^o$. | 1 |
| 9593 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\beta = 60^o$. | 1 |
| 9594 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 9595 | Find the short base $ b $ of a trapezoid if long base $a = 1\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 9596 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 14\, \text{in}$. | 1 |
| 9597 | Find the long base $ a $ of a trapezoid if long base $a = 11.625\, \text{in}$, short base $b = 17.4375\, \text{in}$ and height $h = 16\, \text{in}$. | 1 |
| 9598 | Find the long base $ a $ of a trapezoid if area $A = 144001\, \text{mm}^2$, angle $\alpha = 70.584^o$ and angle $\beta = 19.416^o$. | 1 |
| 9599 | Find the side $ c $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 15.25\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 9600 | Find the diagonal $ d $ of a trapezoid if long base $a = 8\, \text{cm}$, short base $b = 2\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
