By applying the relationship of side lengths to interior angles in a triangle, a possible measure of line segment TS is 4.0 ft.
The relationship of sides to interior angles in a triangle.
In Geometry, the relationship of side lengths to interior angles in a triangle include the following:
- The shortest side length is always opposite of the smallest interior angle.
- The longest side length is always opposite of the largest interior angle.
Based on the above theory, we can logically deduce that angle GF < TS or TS > GF because 42° is greater than 56°.
TS > 3.2 ft.
Therefore, a possible measure of line segment TS is 4.0 ft.
Read more on interior angle here: https://brainly.com/question/14379552
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Complete Question:
In the triangles, TR = GE and SR = FE. If Line segment G F = 3.2 ft, which is a possible measure of Line segment TS? 1.6 ft 3.0 ft 3.2 ft 4.0 ft.
