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?
To find the length of AD, we can use the concept of similar triangles and the given information. Let's set up a proportion:
AB/DE = BC/AD
Substituting the given values:
6/20 = 8/AD
Now, we can cross-multiply and solve for AD:
6 * AD = 8 * 20
6AD = 160
Divide both sides of the equation by 6:
AD = 160/6
AD = 26.67 ft (rounded to two decimal places)
Therefore, the length of AD is approximately 26.67 ft.
To find the length of AD, we can use the concept of proportionality between two similar triangles. In this case, Triangle ADE is proportional to Triangle ABC.
When two triangles are proportional, it means that their corresponding sides are in the same ratio. In this case, since Triangle ADE is proportional to Triangle ABC, we can write the proportion as:
AD/AB = DE/BC
We are given that DE is 20 ft, AB is 6 ft, and BC is 8 ft. Plugging these values into the proportion, we get:
AD/6 = 20/8
To solve for AD, we can cross-multiply:
8 * AD = 6 * 20
Simplifying:
8AD = 120
Now, divide both sides by 8 to isolate AD:
AD = 120/8
Calculating:
AD = 15
Therefore, the length of AD is 15 ft.
AD/AB = DE/BC
AD/6 = 20/8
AD = 15