#10 use the given coordinates to determine if ABC = DEF

label Algebra
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Dec 7th, 2014

10,  A = (-2.1), B = (3, -3), C = (7,5), D (3,6), E (8,2), F (10.11), Using Distance Formula, we get the following lengths:

AB = (-3-1)^2 + (3- (-2)^2; 16 + 25 = 41, SQRT 41 = 6.5

BC = (5 - (-3))^2 + (7 - 3)^2; 64 + 16 = 80 SQRT 80 = 8.9

AC = (5-1)^2 + (7 - (-2))^2; 16 + 81 = 97 SQRT 97 = 9.8

DE (2- (-6)^2 + (8-3)^2; 64 + 25 = 89 SQRT 89 = 9.4

EF (11-2)^2 + (10-8)^2; 81 + 4 = 85 SQRT 85 = 9.2

DF (11-6)^2 + (10 - 3)^2; 25 + 49 = 74 SQRT 74 = 8.6

No, the triangles are not similar.



Dec 7th, 2014

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