Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1151 | 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 |
| 1152 | Find the long base $ a $ of a trapezoid if short base $b = 20$, side $c = \frac{ 39 }{ 2 }$ and height $h = 10$. | 3 |
| 1153 | 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 |
| 1154 | 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 |
| 1155 | Find the long base $ a $ of a trapezoid if long base $a = 8$, height $h = 6$ and area $A = 39$. | 3 |
| 1156 | 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 |
| 1157 | Find the long base $ a $ of a trapezoid if side $c = 9$, diagonal $d = 15$ and height $h = \frac{ 15 }{ 2 }$. | 3 |
| 1158 | 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 |
| 1159 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 5$ and angle $\alpha = 60^o$. | 3 |
| 1160 | Find the long base $ a $ of a trapezoid if long base $a = 510$, short base $b = 440$ and side $c = 510$. | 3 |
| 1161 | 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 |
| 1162 | Find the area $ A $ of a trapezoid if long base $a = 26$, short base $b = 13$ and side $c = 11$. | 3 |
| 1163 | Find the long base $ a $ of a trapezoid if long base $a = 65$, short base $b = 45$ and height $h = 16$. | 3 |
| 1164 | Find the long base $ a $ of a trapezoid if angle $\alpha = 50^o$. | 3 |
| 1165 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 7$ and side $c = 5$. | 3 |
| 1166 | 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 |
| 1167 | 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 |
| 1168 | 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 |
| 1169 | Find the long base $ a $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
| 1170 | Find the height $ h $ of a trapezoid if long base $a = 115$, short base $b = 60$ and side $c = 120$. | 3 |
| 1171 | Find the short base $ b $ of a trapezoid if long base $a = 1$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1172 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 8$ and side $c = 8$. | 3 |
| 1173 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
| 1174 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 13 }{ 4 }$ and angle $\alpha = 30^o$. | 3 |
| 1175 | Find the area $ A $ of a trapezoid if long base $a = 145$, short base $b = 75$ and height $h = 120$. | 3 |
| 1176 | Find the median $ m $ of a trapezoid if long base $a = 19$ and short base $b = 9$. | 3 |
| 1177 | Find the long base $ a $ of a trapezoid if short base $b = 1$, area $A = 3$ and angle $\beta = 120^o$. | 3 |
| 1178 | Find the long base $ a $ of a trapezoid if long base $a = 89$, short base $b = 60$ and side $c = 153$. | 3 |
| 1179 | Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 15$ and side $c = 120$. | 3 |
| 1180 | Find the side $ c $ of a trapezoid if long base $a = 12$, short base $b = 3$ and height $h = 15$. | 3 |
| 1181 | 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 |
| 1182 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = \frac{ 21 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1183 | Find the diagonal $ d $ of a trapezoid if long base $a = 45$, short base $b = 38$ and height $h = 33$. | 3 |
| 1184 | Find the long base $ a $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1185 | Find the short base $ b $ of a trapezoid if long base $a = 100$, side $c = \frac{ 701 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1186 | Find the short base $ b $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
| 1187 | Find the height $ h $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 3 |
| 1188 | 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 |
| 1189 | 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 |
| 1190 | 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 |
| 1191 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 509 }{ 50 }$, short base $b = \frac{ 849 }{ 100 }$ and height $h = \frac{ 5 }{ 2 }$. | 3 |
| 1192 | Find the median $ m $ of a trapezoid if diagonal $d = 25$ and height $h = 15$. | 3 |
| 1193 | Find the of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, short base $b = \frac{ 6 }{ 5 }$ and height $h = \frac{ 43 }{ 250 }$. | 3 |
| 1194 | Find the long base $ a $ of a trapezoid if short base $b = 30$, height $h = 30$, angle $\alpha = 110^o$ and angle $\beta = 110^o$. | 3 |
| 1195 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and diagonal $d = 2 \sqrt{ 6 }$. | 3 |
| 1196 | Find the area $ A $ of a trapezoid if long base $a = 5$, side $c = 3$ and height $h = \sqrt{ 8 }$. | 3 |
| 1197 | Find the short base $ b $ of a trapezoid if long base $a = 30$, side $c = 10$ and angle $\alpha = 60^o$. | 3 |
| 1198 | Find the short base $ b $ of a trapezoid if long base $a = 36$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1199 | Find the long base $ a $ of a trapezoid if long base $a = 30$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
| 1200 | Find the area $ A $ of a trapezoid if long base $a = 40$, short base $b = 20$ and height $h = 5 \sqrt{ 3 }$. | 3 |
