What makes a triangle a “special” right triangle? How can special right triangles help me find side lengths?

Question

parthkohli · Answer

There are a number of Special Right Triangles out there. At this stage, you should know $\text{30-60-90}$ and $\text{45-45-90}$ triangles.

anonymous · Answer

Yeah I know those triangles. So that what makes it a "special" right triangle?

btaylor · Answer

a special right triangle has sides of integral length (as in, they are all whole numbers).
Examples:
3:	4	:5
5:	12	:13
8:	15	:17
7:	24	:25
9:	40	:41
11:	60	:61	    
12:	35	:37
13:	84	:85
15:	112	:113
16:	63	:65
17:	144	:145
19:	180	:181
20:	21	:29
20:	99	:101
21:	220	:221
24:	143	:145	    
28:	45	:53
28:	195	:197
32:	255	:257
33:	56	:65
36:	77	:85
39:	80	:89
44:	117	:125
48:	55	:73
51:	140	:149
52:	165	:173	    
57:	176	:185
60:	91	:109
60:	221	:229
65:	72	:97
84:	187	:205
85:	132	:157
88:	105	:137
95:	168	:193
96:	247	:265
104:	153	:185
105:	208	:233
115:	252	:277
119:	120	:169
120:	209	:241
133:	156	:205
140:	171	:221
160:	231	:281
161:	240	:289
204:	253	:325
these are called Pythagorean triples.

anonymous · Answer

Alright thanks