Question

Find the value of x rounded to the nearest tenth.

Answer 1

Answer:

x = 5.3 units

Step-by-step 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,

$\frac{6}{9} = \frac{x}{8}$

$x = (\frac{6}{9})(8) = \frac{48}{9} = 5.33 units$

Thus, the value of x is 5.3  units.

Answer 2

Answer:

$\displaystyle 5,3 ≈ x$

Step-by-step explanation:

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

$\displaystyle \frac{8}{x} = \frac{9}{6}; 5\frac{1}{3} = x; 5,3 ≈ x$

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