The missing length in triangle A given the similarity between the two triangles is 18.67
Solving triangles using ratio
Triangle A is similar to triangle B
Triangle A:
- Side 1 = (x + 2)
- Side 2 = 14
Triangle B:
Ratio of side 1 to side 2 of the triangles respectively
(x + 2) : 8 = 14 : 6
(x + 2) / 8 = 14/6
(x + 2) × 6 = 8 × 14
6x + 12 = 112
6x = 112 - 12
6x = 100
x = 100/6
x = 16.67
Therefore, Triangle A:
Side 1 = (x + 2)
= 16.67 + 2
= 18.67
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