Question

Find the unknown length y in the following pair of the similar triangles.

Answer 1

Answer:

y = 9.75

Step-by-step explanation:

Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.

Therefore, 39/y = 23/5.75 = 35/8.75

Let's find y

39/y = 23/5.75

==>Cross multiply

39*5.75 = 23*y

224.25 = 23y

==>Divide both sides by 23

224.25/23 = y

9.75 = y

y = 9.75

Check:

Thus,

39/9.75 = 23/5.75 = 35/8.75 = 4

Our answer y, which is 9.75, is correct.