Question

Find the value of y.

Answer 1

Try this option:
1. the sides of the biggest triangle are 16; x and √(16²-x²); the sides of the smallest triange are x;5 and y. The smallest triangle ~ the biggest triangle. Using the property of the similar triangles:

`(x)/(5) = (16)/(x), \ then \ x= √(80)`
2. according to the Pyphagorean theorem (in the smallest triangle):

`y= \sqrt{ √(80^2) -5^2} = √(55)`

answer: y=√55.