Δ ABC was dilated from point A to get Δ ADE. Find the length of AD given a scale factor of 2.
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Answer:
2x+4
Step-by-step explanation:
if you double the triangle, than the sides double as well meaning you use distributive property to multiply two to each integer.
The length of AD given a scale factor of 2 is 10 units.
Given that, Δ ABC was dilated from point A to get Δ ADE.
We need to find the length of AD given a scale factor of 2.
The basic formula that is used for calculating the scale factor is the Scale factor = Dimension of the new shape ÷ Dimension of the original shape. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.
Now, 2=(6x-8)/(x+2)
⇒6x-8=2(x+2)
⇒6x-8=2x+4
⇒4x=12
⇒x=3
Then, AD=6x-8=6×3-8=10 units.
Therefore, the length of AD given a scale factor of 2 is 10 units.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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