Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7401 | Find the side $ c $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 2 |
| 7402 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, height $h = 15\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 7403 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, height $h = 150\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 7404 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, side $c = 173.2\, \text{mm}$, height $h = 150\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 7405 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, side $c = 173.2\, \text{mm}$, height $h = 150\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 7406 | Find the short base $ b $ of a trapezoid if long base $a = 1210\, \text{mm}$, side $c = 173.2\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 7407 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{mm}$ and short base $b = 30\, \text{mm}$. | 2 |
| 7408 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{mm}$ and height $h = 18.3\, \text{mm}$. | 2 |
| 7409 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{m}$, side $c = 4.47\, \text{m}$ and height $h = 4\, \text{m}$. | 2 |
| 7410 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$, short base $b = 2.5\, \text{in}$ and side $c = 6\, \text{in}$. | 2 |
| 7411 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 120^o$. | 2 |
| 7412 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 7413 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 2 |
| 7414 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 7415 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 2.5\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 7416 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 7417 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 2\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 7418 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 2 |
| 7419 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 2\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 7420 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 1.25\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 7421 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 1\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 7422 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 0.75\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 7423 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 0.125\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 7424 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 7425 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 7426 | Find the short base $ b $ of a trapezoid if height $h = 10\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 7427 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and median $m = 2.5\, \text{mm}$. | 2 |
| 7428 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and median $m = 2.5\, \text{mm}$. | 2 |
| 7429 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and median $m = 2.5\, \text{in}$. | 2 |
| 7430 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{in}$, height $h = 30\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 7431 | Find the long base $ a $ of a trapezoid if angle $\alpha = 45^o$. | 2 |
| 7432 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, height $h = 6\, \text{ft}$ and angle $\alpha = 45^o$. | 2 |
| 7433 | Find the short base $ b $ of a trapezoid if long base $a = 5.188\, \text{in}$ and angle $\beta = 22.5^o$. | 2 |
| 7434 | Find the long base $ a $ of a trapezoid if diagonal $d = 12\, \text{cm}$ and area $A = 216\, \text{cm}^2$. | 2 |
| 7435 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 7\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 7436 | Find the long base $ a $ of a trapezoid if height $h = 7\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 7437 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 5\, \text{m}$ and height $h = 12\, \text{m}$. | 2 |
| 7438 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 5\, \text{m}$ and height $h = 12\, \text{m}$. | 2 |
| 7439 | Find the long base $ a $ of a trapezoid if short base $b = 160\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 7440 | Find the diagonal $ d $ of a trapezoid if long base $a = 18\, \text{mm}$, side $c = 10\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 7441 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.625\, \text{in}$, short base $b = 0.5\, \text{in}$ and height $h = 0.5\, \text{in}$. | 2 |
| 7442 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 76^o$. | 2 |
| 7443 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 88.5^o$. | 2 |
| 7444 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 78.5^o$. | 2 |
| 7445 | Find the side $ c $ of a trapezoid if long base $a = 1150\, \text{mm}$, short base $b = 675\, \text{mm}$ and height $h = 950\, \text{mm}$. | 2 |
| 7446 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 7447 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 7448 | Find the short base $ b $ of a trapezoid if side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 7449 | Find the long base $ a $ of a trapezoid if long base $a = 44.5\, \text{in}$, short base $b = 44.5\, \text{mm}$, side $c = 51\, \text{in}$, height $h = 51\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 7450 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 45^o$. | 2 |
