Classifying Triangles Maze! Directions: Glven each set of side lengths, determine if the triangle is acute. obluse, night, or not a triangle. Use your solutions to navigate through the moze End! Start! Acute 6,10,17 Obtuse 26, 28, 38 Nota a 10, 17, 23 Obtuse Not a Right Not a A Obtuse Acute Right 13, 18, 29 Not a A 9,13, 20 Acute 15,19,25 Not A 4, 11, 13 Acute Right Obtuse Not a A Right Acute Obtuse 16,16, 22 Nota A 4,7,8 Acute 20, 21, 29 Obtuse 3,16,25 Obtuse Obtuse Right Not a Δ Not a Acute Not a A 5, 16, 24 Acute 19,24,39 Right 9,40,41 Obtuse 12, 35, 37 Right Not a A Acute Not a A Acute Right Acute 7,34,45 Not a 4,13,16 Right 23, 30, 37 Obtuse 14, 21, 37 on 1 Gino Won A Things Algebra LLC. 2016
Answers
Classifying triangles maze's path formed from the starting point is 3 - 10 - 17, 9 - 13 - 20, 4 - 7 - 8, 20 - 21 - 29, 15 - 19 - 25, 26 - 28 - 38, 4 - 11 - 13, 3 - 16 - 25, 12 - 35 - 37, 23 - 30 - 37, 9 - 40 - 41, 19 - 24 - 39, 16 - 16 - 22, and 13 - 18 - 29.
The full question is in the attachment. According to the Pythagorean theorem if there are three sides a, b, and c, where a ≤ b < c
a² + b² < c² an obtuse triangle is formeda² + b² = c² a right triangle is formeda² + b² > c² an acute triangle is formedBut if a + b < c then a triangle cannot be formed
From point start
3 - 10 - 173 + 10 = 16 < 17
not a triangle9 - 13 - 20
9 + 13 = 22 > 20 a triangle formed
9² + 13² = 81 + 169 = 250
20² = 400
9² + 13² < 20²
Obtuse4 - 7 - 8
4 + 7 = 11 > 8 a triangle formed
4² + 7² = 16 + 49 = 65
8² = 64
4² + 7² > 8²
Acute20 - 21 - 29
20 + 21 = 41 > 29 a triangle formed
20² + 21² = 400 + 441 = 841
29² = 841
20² + 21² = 29²
Right15 - 19 - 25
15 + 19 = 34 > 25 a triangle formed
15² + 19² = 225 + 361 = 586
25² = 625
15² + 19² < 25²
Obtuse26 - 28 - 38
26 + 28 = 54 > 38 a triangle formed
26² + 28² = 676 + 784 = 1,460
38² = 1,444
26² + 28² > 38²
Acute4 - 11 - 13
4 + 11 = 15 > 13 a triangle formed
4² + 11² = 16 + 121 = 140
13² = 169
4² + 11² < 13²
Obtuse3 - 16 - 25
3 + 16 = 19 < 25
not a triangle12 - 35 - 37
12 + 35 = 47 > 37 a triangle formed
12² + 35² = 144 + 1,225 = 1,369
37² = 1,369
12² + 35² = 37²
Right23 - 30 - 37
23 + 30 = 53 > 37 a triangle formed
23² + 30² = 529 + 900 = 1,429
37² = 1,369
23² + 30² > 37²
Acute9 - 40 - 41
9 + 40 = 49 > 41 a triangle formed
9² + 40² = 81 + 1,600 = 1,681
41² = 1,681
9² + 40² = 41²
Right19 - 24 - 39
19 + 24 = 43 > 39 a triangle formed
19² + 24² = 361 + 576 = 937
39² = 1,521
19² + 24² < 39²
Obtuse16 - 16 - 22
16 + 16 = 32 > 22 a triangle formed
16² + 16² = 256 + 256 = 512
22² = 484
16² + 16² > 22²
Acute13 - 18 - 29
13 + 18 = 31 > 29 a triangle formed
13² + 18² = 169 + 324 = 493
29² = 841
13² + 18² < 29²
ObtuseEndpoint
Learn more about Pythagorean theorem here: https://brainly.com/question/12306722
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Step-by-step explanation:
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