Question

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

Answer 1

Answer:

$y=2\sqrt{10}$

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

$\frac{AD}{DB}=\frac{DB}{CD}$

By substituting values in the given ratio,

$\frac{5}{y}= \frac{y}{8}$

$y^2=8\times 5$

$y^2=40$

$y=2\sqrt{10}$

Exact value of y is $2\sqrt{10}$.