Triangle ADE is proportional to Triangle ABC. The Length of DE is 20 Ft: the Length of AB is 6 ft. and the Length of BC is 8 Ft. What is the length of AD?

AD/AB = DE/BC

AD/6 = 20/8. Solve for AD.

To find the length of AD, we can use the concept of proportionality between similar triangles.

In similar triangles, the corresponding sides are proportional. We can set up a ratio between the corresponding sides of the two triangles:

DE / AB = AD / BC

Substituting the given values, we have:

20 ft / 6 ft = AD / 8 ft

To find AD, we can cross multiply:

20 ft * 8 ft = 6 ft * AD

160 ft^2 = 6 ft * AD

Now, we can solve for AD. By dividing both sides of the equation by 6 ft:

(160 ft^2) / 6 ft = AD

Simplifying this, we get:

AD ≈ 26.67 ft

Therefore, the length of AD is approximately 26.67 ft.