Answer:
x ≈ 29.076 ≈ 29.1
Explanation:
Given BA=22.2, AD=11.3, DC=14.8, and BC =x in triangle ABC with angle bisector BD, you want to find the value of x.
Proportion
The angle bisector divides the sides proportionally. This means ...
BC/BA = CD/AD
x/22.2 = 14.8/11.3 . . . . substitute given values
x = 22.2(148/113) ≈ 29.076 ≈ 29.1
The value of x is about 29.1.
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Additional comment
We have rounded x to 1 dp to match the other dimensions in the figure. Its exact value is 29 43/565.