Question

What is the length of segment AD? Answer and explain why :)

Answer 1

Answer:

$AD=15$

Step-by-step explanation:

From the given figure, it can be seen that GF is parallel to DE, therefore, the two triangles that are AGF and ADE will be similar, thus by using the basic proportionality theorem, we have

$\frac{FA}{AE}=\frac{GA}{AD}$

Substituting the given values, we have

⇒$\frac{16}{16+4}=\frac{12}{AD}$

⇒$\frac{16}{20}=\frac{12}{AD}$

⇒$AD=\frac{12{\times}20}{16}$

⇒$AD=15$

Thus, the value of the segment AD will be 15 units.

Answer 2

AD is 16 because FE equals 4 and FE is equivalent to GD. so then add 4 to AG which is 12, and 12+4= 16