Trapezoid – Solved Problems Database
All the problems and solutions shown below were generated using the Trapezoid Calculator.
ID |
Problem |
Count |
301 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 3 |
302 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\beta = 92^o$. | 3 |
303 | Find the angle $ \beta $ of a trapezoid if long base $a = 38$, side $c = \frac{ 65 }{ 2 }$ and height $h = 30$. | 3 |
304 | Find the short base $ b $ of a trapezoid if long base $a = 23$, height $h = 8$ and area $A = 160$. | 3 |
305 | Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 12$ and side $c = 24$. | 3 |
306 | Find the short base $ b $ of a trapezoid if short base $b = 7$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 92^o$. | 3 |
307 | Find the side $ c $ of a trapezoid if long base $a = 2000$, short base $b = 500$ and height $h = 2000$. | 3 |
308 | Find the long base $ a $ of a trapezoid if long base $a = 48$, short base $b = 42$ and area $A = 225$. | 3 |
309 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 4 }$, short base $b = \frac{ 1 }{ 2 }$ and side $c = 43$. | 3 |
310 | Find the area $ A $ of a trapezoid if long base $a = 20$, side $c = 12$ and diagonal $d = 16$. | 3 |
311 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 2 }$, short base $b = \frac{ 91 }{ 8 }$ and height $h = 16$. | 3 |
312 | Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = \frac{ 39 }{ 2 }$ and height $h = 10$. | 3 |
313 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 13 }{ 2 }$, short base $b = \frac{ 43 }{ 8 }$ and height $h = \frac{ 3 }{ 2 }$. | 3 |
314 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 24 }{ 5 }$, height $h = \frac{ 2 }{ 5 }$ and angle $\alpha = 59^o$. | 3 |
315 | Find the long base $ a $ of a trapezoid if long base $a = 8$, height $h = 6$ and area $A = 39$. | 3 |
316 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 172 }{ 25 }$, short base $b = \frac{ 28 }{ 5 }$ and side $c = \frac{ 35 }{ 4 }$. | 3 |
317 | Find the long base $ a $ of a trapezoid if side $c = 9$, diagonal $d = 15$ and height $h = \frac{ 15 }{ 2 }$. | 3 |
318 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5701 }{ 100 }$, short base $b = \frac{ 1139 }{ 20 }$ and height $h = \frac{ 4873 }{ 20 }$. | 3 |
319 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 5$ and angle $\alpha = 60^o$. | 3 |
320 | Find the long base $ a $ of a trapezoid if long base $a = 510$, short base $b = 440$ and side $c = 510$. | 3 |
321 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 4$, side $c = 4$ and height $h = \frac{ 173 }{ 50 }$. | 3 |
322 | Find the area $ A $ of a trapezoid if long base $a = 26$, short base $b = 13$ and side $c = 11$. | 3 |
323 | Find the long base $ a $ of a trapezoid if long base $a = 65$, short base $b = 45$ and height $h = 16$. | 3 |
324 | Find the long base $ a $ of a trapezoid if angle $\alpha = 50^o$. | 3 |
325 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 7$ and side $c = 5$. | 3 |
326 | Find the of a trapezoid if long base $a = \frac{ 5107 }{ 100 }$, short base $b = \frac{ 1017 }{ 20 }$ and height $h = \frac{ 9591 }{ 50 }$. | 3 |
327 | Find the of a trapezoid if long base $a = \frac{ 5107 }{ 100 }$, height $h = \frac{ 9591 }{ 50 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 3 |
328 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 5701 }{ 100 }$, height $h = \frac{ 9591 }{ 50 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 3 |
329 | Find the long base $ a $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
330 | Find the height $ h $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
331 | Find the short base $ b $ of a trapezoid if long base $a = 1$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
332 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 8$ and side $c = 8$. | 3 |
333 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
334 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
335 | Find the area $ A $ of a trapezoid if long base $a = 145$, short base $b = 75$ and height $h = 120$. | 3 |
336 | Find the median $ m $ of a trapezoid if long base $a = 19$ and short base $b = 9$. | 3 |
337 | Find the long base $ a $ of a trapezoid if short base $b = 1$, area $A = 3$ and angle $\beta = 120^o$. | 3 |
338 | Find the long base $ a $ of a trapezoid if long base $a = 89$, short base $b = 60$ and side $c = 153$. | 3 |
339 | Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 15$ and side $c = 120$. | 3 |
340 | Find the side $ c $ of a trapezoid if long base $a = 12$, short base $b = 3$ and height $h = 15$. | 3 |
341 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 137 }{ 4 }$, side $c = \frac{ 435 }{ 4 }$, height $h = \frac{ 435 }{ 4 }$, angle $\alpha = 90^o$ and angle $\beta = \frac{ 161 }{ 2 }^o$. | 3 |
342 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 21 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
343 | Find the diagonal $ d $ of a trapezoid if long base $a = 45$, short base $b = 38$ and height $h = 33$. | 3 |
344 | Find the long base $ a $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
345 | Find the short base $ b $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
346 | Find the short base $ b $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
347 | Find the height $ h $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
348 | Find the short base $ b $ of a trapezoid if long base $a = 6$, side $c = \frac{ 141 }{ 100 }$, diagonal $d = \frac{ 123269 }{ 20000 }$, height $h = 1$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 3 |
349 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 2 }$, short base $b = \frac{ 21 }{ 2 }$ and angle $\beta = 135^o$. | 3 |
350 | Find the short base $ b $ of a trapezoid if long base $a = 1892$, height $h = 650$, median $m = 1536$ and angle $\alpha = 61^o$. | 3 |