Question

Which proportion can be used to find the value of y?

OS =
○ = 1
12
=
10 = 1
12

Answer 1

Answer:
`(4)/(8)=(y)/(14)`

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

`(4)/(8)=(y)/(14)`

Hence, the proportion can be used to find the value of y is
`(4)/(8)=(y)/(14)`.

• 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.