Question

In A ABC, AU = 16, BU= 12, and CF = 18. Find UF. ​

Answer 1

To find UF in triangle ABC, we can use the triangle proportionality theorem and solve the given equation.

Step-by-step explanation:

In triangle ABC, we are given that AU = 16, BU = 12, and CF = 18. To find UF, we can use the triangle proportionality theorem. This theorem states that if a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally.

Using the proportion AU/UF = BU/CF, we can substitute the given values to solve for UF:

16/UF = 12/18

Now, we can cross-multiply and solve for UF:

16*18 = 12*UF

UF = (16*18)/12

UF = 24