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adioabiola

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:

  • Side 1 = 8
  • Side 2 = 6

Ratio of side 1 to side 2 of the triangles respectively

(x + 2) : 8 = 14 : 6

(x + 2) / 8 = 14/6

  • cross product

(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

Learn more about ratio:

https://brainly.com/question/2328454

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