Answer: [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]
Step-by-step explanation:
in the given figure, we can observe that both triangles are similar since they have two equal angles of 100° and 60° .[By AA similarity criteria]
Also, the corresponding sides of similar triangles are proportional.
As side with measure 8 in bigger triangle corresponds side with measure 4 on the smaller triangle. [shortest side]
Similarly, side with measure 14 in bigger triangle corresponds side with measure y on the smaller triangle. [longest side]
Using proportionality, we have
[tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex]
Hence, the proportion can be used to find the value of y is [tex]\dfrac{4}{8}=\dfrac{y}{14}[/tex].
- According to AA similarity criterion-, if any two angles of one triangle are equal to any two angles of the other, then the two triangles will be similar.
