Question

5
8
y
Find the exact value of y.
y =

Answer 1

`y=2√(10)`

Explanation:

By applying geometric mean theorem in the given right angle,

`(AD)/(DB)=(DB)/(CD)`

By substituting values in the given ratio,

`(5)/(y)= (y)/(8)`

`y^2=8* 5`

`y^2=40`

`y=2√(10)`

Exact value of y is
`2√(10)`.