Answer:
Step-by-step explanation:
setup a proportion
Big Triangle Small Triangle
corresponding 15 3
corresponding x 6
so you are trying to solve 15/x=3/6
cross multiply 6(15)=3(x)
last step divide both sides by 3 giving x=30 ft
If the triangles are similar, value of x in the drawings is Option(B) 30 ft.
Similar triangles are triangles that have the same shape, but their sizes may vary. If two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
The given two triangles are similar .
In the diagram, it is mentioned that one side is 3 and its corresponding other side of the similar triangle is 15 .
Thus the proportion is 15/3 = 5
Therefore if the other side of the same triangle is 6 then its corresponding other side of the similar triangle will be 6*5 = 30
Thus x = 30 ft.
Therefore, if the triangles are similar, value of x in the drawings is Option(B) 30 ft.
To learn more about similar triangles, refer -
https://brainly.com/question/14285697
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