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The measure of side length x in the triangle is 3.
The figure in the image is two similar triangles.
To determine the missing side length, we take the ratio of the two sides of the triangles based on their corresponding interior angles.
Since the two angles are similar:
Leg 1 of the smaller triangle : Leg 2 of the smaller triangle = Leg 1 of the larger triangle : Leg 2 of the larger triangle.
Plug in the values:
2 : x = 6 : 9
2/x = 6/9
Cross multiplying, we get:
x × 6 = 2 × 9
6x = 18
Divide both sides by 6
6x/6 = 18/6
x = 18/6
x = 3
Therefore, x has a value of 3.
Learn more about ratios and proportions here: brainly.com/question/29774220
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