Question

Find the value of x rounded to the nearest tenth.

Answer 1

`\displaystyle 5,3 ≈ x`

Step-by-step explanation:

Since these are NOT two right triangles, set these triangles up as a proportion:

`\displaystyle (8)/(x) = (9)/(6); 5(1)/(3) = x; 5,3 ≈ x`

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Answer 2

x = 5.3 units

Explanation:

The given triangle has adjacent sides as 6 and 9 units. It has an angle bisector, which divides the angle between the adjacent sides, and opposite side in lengths x and 8 units.

An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

This means,

`(6)/(9) = (x)/(8)`

`x = ((6)/(9))(8) = (48)/(9) = 5.33 units`

Thus, the value of x is 5.3 units.