ANSWER:
6 units.
The length of ( x ) is 6 units.
STEP-BY-STEP EXPLANATION:
Let's first establish that the two triangles are similar. This means that the shape and size of angles in both of the triangles are the same, but one triangle is a reduction or enlargement of the other triangle. In other words, only the size of the triangles are different.
Hence, the sides of the triangle must be in ratio to the corresponding sides of the other triangle. The ratio must be the same for all sides of the triangles.
THEREFORE:
x / 7 = 3 / 3.5
From this, we will make ( x ) the subject and simplify to obtain the length of ( x ).
x / 7 = 3 / 3.5
x = 3 / 3.5 × 7
x = 6 / 7 × 7
x = 42 / 7
x = 6
