Equilateral Triangle

(the database of solved problems)

All the problems and solutions shown below were generated using the Equilateral Triangle Calculator.

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ID	Problem	Count
501	Find the incircle radius $ r $ of an equilateral triangle if altitude $h = 23$.	2
502	Find the side $ a $ of an equilateral triangle if side $a = 24$ and altitude $h = 9$.	2
503	Find the area $ A $ of an equilateral triangle if side $a = 24$ and altitude $h = 9$.	2
504	Find the side $ a $ of an equilateral triangle if side $a = 4$, altitude $h = \frac{ 173 }{ 50 }$, perimeter $P = 12$, area $A = \frac{ 693 }{ 100 }$, circumcircle radius $R = \frac{ 231 }{ 100 }$ and incircle radius $r = \frac{ 23 }{ 20 }$.	2
505	Find the side $ a $ of an equilateral triangle if perimeter $P = 12$.	2
506	Find the side $ a $ of an equilateral triangle if side $a = 12$ and altitude $h = 7$.	2
507	Find the side $ a $ of an equilateral triangle if area $A = \frac{ 49 \sqrt{ 3}}{ 4 }$.	2
508	Find the side $ a $ of an equilateral triangle if perimeter $P = 42$.	2
509	Find the area $ A $ of an equilateral triangle if perimeter $P = 42$.	2
510	Find the area $ A $ of an equilateral triangle if side $a = 17$ and incircle radius $r = 5$.	2
511	Find the area $ A $ of an equilateral triangle if side $a = 17$ and circumcircle radius $R = 5$.	2
512	Find the side $ a $ of an equilateral triangle if side $a = 6 \sqrt{ 2 }$.	2
513	Find the side $ a $ of an equilateral triangle if area $A = \frac{ 169 \sqrt{ 3}}{ 4 }$.	2
514	Find the side $ a $ of an equilateral triangle if side $a = \frac{ 158 }{ 5 }$.	2
515	Find the side $ a $ of an equilateral triangle if side $a = 2 \sqrt{ 3 }$.	2
516	Find the area $ A $ of an equilateral triangle if side $a = 2 \sqrt{ 3 }$.	2
517	Find the perimeter $ P $ of an equilateral triangle if area $A = 307$.	2
518	Find the perimeter $ P $ of an equilateral triangle if side $a = 9$, altitude $h = 177$, perimeter $P = 34$, area $A = 88$, circumcircle radius $R = 11$ and incircle radius $r = 7$.	2
519	Find the side $ a $ of an equilateral triangle if side $a = 750$ and altitude $h = 1000$.	2
520	Find the side $ a $ of an equilateral triangle if side $a = 20 \sqrt{ 3 }$.	2
521	Find the altitude $ h $ of an equilateral triangle if side $a = 4$ and perimeter $P = 12$.	2
522	Find the perimeter $ P $ of an equilateral triangle if altitude $h = 21$.	2
523	Find the side $ a $ of an equilateral triangle if altitude $h = \frac{ 16 }{ 5 }$.	2
524	Find the side $ a $ of an equilateral triangle if altitude $h = \frac{ 21 }{ 5 }$.	2
525	Find the side $ a $ of an equilateral triangle if side $a = \frac{ 1299 }{ 25 }$ and circumcircle radius $R = 30$.	2
526	Find the altitude $ h $ of an equilateral triangle if side $a = 389$.	2
527	Find the altitude $ h $ of an equilateral triangle if side $a = \sqrt{ 10 }$.	2
528	Find the altitude $ h $ of an equilateral triangle if side $a = 32$ and incircle radius $r = 60$.	2
529	Find the altitude $ h $ of an equilateral triangle if side $a = 750$ and perimeter $P = 1998$.	2
530	Find the altitude $ h $ of an equilateral triangle if perimeter $P = 21$.	2
531	Find the circumcircle radius $ R $ of an equilateral triangle if side $a = 46\, \text{mm}$.	2
532	Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 120\, \text{mm}$.	2
533	Find the altitude $ h $ of an equilateral triangle if side $a = 38\, \text{in}$.	2
534	Find the side $ a $ of an equilateral triangle if side $a = 12\, \text{cm}$.	2
535	Find the side $ a $ of an equilateral triangle if area $A = 12\, \text{cm}^2$.	2
536	Find the altitude $ h $ of an equilateral triangle if side $a = 37\, \text{in}$.	2
537	Find the side $ a $ of an equilateral triangle if altitude $h = 26\, \text{cm}$.	2
538	Find the area $ A $ of an equilateral triangle if side $a = 6\, \text{mm}$ and altitude $h = 6\, \text{mm}$.	2
539	Find the area $ A $ of an equilateral triangle if altitude $h = 6\, \text{mm}$.	2
540	Find the side $ a $ of an equilateral triangle if side $a = 11\, \text{ft}$.	2
541	Find the perimeter $ P $ of an equilateral triangle if side $a = 5\, \text{mm}$.	2
542	Find the circumcircle radius $ R $ of an equilateral triangle if side $a = 38\, \text{in}$.	2
543	Find the side $ a $ of an equilateral triangle if side $a = 6\, \text{mm}$, altitude $h = 5.2\, \text{mm}$, perimeter $P = 18\, \text{mm}$, area $A = 15.59\, \text{mm}^2$, circumcircle radius $R = 3.46\, \text{mm}$ and incircle radius $r = 1.73\, \text{mm}$.	2
544	Find the side $ a $ of an equilateral triangle if area $A = 8\, \text{mm}^2$.	2
545	Find the side $ a $ of an equilateral triangle if side $a = 3\, \text{in}$ and perimeter $P = 9\, \text{in}$.	2
546	Find the altitude $ h $ of an equilateral triangle if area $A = 24\, \text{mm}^2$.	2
547	Find the side $ a $ of an equilateral triangle if side $a = 120\, \text{mm}$.	2
548	Find the altitude $ h $ of an equilateral triangle if side $a = 6 \sqrt{ 3 }\, \text{mm}$.	2
549	Find the altitude $ h $ of an equilateral triangle if perimeter $P = 39\, \text{mm}$.	2
550	Find the altitude $ h $ of an equilateral triangle if side $a = 0.1675\, \text{in}$.	2